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Finding the Fourth Proportional to 763.17, 1,053.13 and 501.16

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Solution

The fourth proportional to 763.17, 1,053.13 and 501.16 is: 691.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.17 : 1,053.13 = 501.16 : x
  2. Step 2: Convert to fraction form
    763.17/1,053.13 = 501.16/x
  3. Step 3: Cross multiply
    763.17x = 1,053.13 × 501.16
  4. Step 4: Simplify right side
    763.17x = 527,786.63
  5. Step 5: Solve for x
    x = 527,786.63/763.17
  6. Step 6: Final answer
    x = 691.57

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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.