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Finding the Fourth Proportional to 1,001.17, 1,502.14 and 385.30

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Solution

The fourth proportional to 1,001.17, 1,502.14 and 385.30 is: 578.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.17 : 1,502.14 = 385.30 : x
  2. Step 2: Convert to fraction form
    1,001.17/1,502.14 = 385.30/x
  3. Step 3: Cross multiply
    1,001.17x = 1,502.14 × 385.30
  4. Step 4: Simplify right side
    1,001.17x = 578,774.54
  5. Step 5: Solve for x
    x = 578,774.54/1,001.17
  6. Step 6: Final answer
    x = 578.10

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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.