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Finding the Fourth Proportional to 715.93, 1,073.12 and 468.36

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Solution

The fourth proportional to 715.93, 1,073.12 and 468.36 is: 702.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.93 : 1,073.12 = 468.36 : x
  2. Step 2: Convert to fraction form
    715.93/1,073.12 = 468.36/x
  3. Step 3: Cross multiply
    715.93x = 1,073.12 × 468.36
  4. Step 4: Simplify right side
    715.93x = 502,604.14
  5. Step 5: Solve for x
    x = 502,604.14/715.93
  6. Step 6: Final answer
    x = 702.03

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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.