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Finding the Fourth Proportional to 1,254.82, 1,731.82 and 730.76

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Solution

The fourth proportional to 1,254.82, 1,731.82 and 730.76 is: 1,008.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.82 : 1,731.82 = 730.76 : x
  2. Step 2: Convert to fraction form
    1,254.82/1,731.82 = 730.76/x
  3. Step 3: Cross multiply
    1,254.82x = 1,731.82 × 730.76
  4. Step 4: Simplify right side
    1,254.82x = 1,265,544.78
  5. Step 5: Solve for x
    x = 1,265,544.78/1,254.82
  6. Step 6: Final answer
    x = 1,008.55

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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.