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Finding the Fourth Proportional to 1,278.76, 1,764.68 and 726.76

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Solution

The fourth proportional to 1,278.76, 1,764.68 and 726.76 is: 1,002.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.76 : 1,764.68 = 726.76 : x
  2. Step 2: Convert to fraction form
    1,278.76/1,764.68 = 726.76/x
  3. Step 3: Cross multiply
    1,278.76x = 1,764.68 × 726.76
  4. Step 4: Simplify right side
    1,278.76x = 1,282,498.84
  5. Step 5: Solve for x
    x = 1,282,498.84/1,278.76
  6. Step 6: Final answer
    x = 1,002.92

Related Problems

Find fourth proportional to 639.38, 882.34 and 363.38
Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.