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Finding the Fourth Proportional to 1,001.48, 1,500.93 and 539.46

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Solution

The fourth proportional to 1,001.48, 1,500.93 and 539.46 is: 808.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.48 : 1,500.93 = 539.46 : x
  2. Step 2: Convert to fraction form
    1,001.48/1,500.93 = 539.46/x
  3. Step 3: Cross multiply
    1,001.48x = 1,500.93 × 539.46
  4. Step 4: Simplify right side
    1,001.48x = 809,691.70
  5. Step 5: Solve for x
    x = 809,691.70/1,001.48
  6. Step 6: Final answer
    x = 808.50

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.