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Finding the Fourth Proportional to 1,278.18, 1,764.74 and 836.88

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Solution

The fourth proportional to 1,278.18, 1,764.74 and 836.88 is: 1,155.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278.18 : 1,764.74 = 836.88 : x
  2. Step 2: Convert to fraction form
    1,278.18/1,764.74 = 836.88/x
  3. Step 3: Cross multiply
    1,278.18x = 1,764.74 × 836.88
  4. Step 4: Simplify right side
    1,278.18x = 1,476,875.61
  5. Step 5: Solve for x
    x = 1,476,875.61/1,278.18
  6. Step 6: Final answer
    x = 1,155.45

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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.