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Finding the Fourth Proportional to 1,301.31, 1,951.47 and 468.15

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Solution

The fourth proportional to 1,301.31, 1,951.47 and 468.15 is: 702.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.31 : 1,951.47 = 468.15 : x
  2. Step 2: Convert to fraction form
    1,301.31/1,951.47 = 468.15/x
  3. Step 3: Cross multiply
    1,301.31x = 1,951.47 × 468.15
  4. Step 4: Simplify right side
    1,301.31x = 913,580.68
  5. Step 5: Solve for x
    x = 913,580.68/1,301.31
  6. Step 6: Final answer
    x = 702.05

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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.