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Finding the Fourth Proportional to 763.20, 1,053.13 and 564.14

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Solution

The fourth proportional to 763.20, 1,053.13 and 564.14 is: 778.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.20 : 1,053.13 = 564.14 : x
  2. Step 2: Convert to fraction form
    763.20/1,053.13 = 564.14/x
  3. Step 3: Cross multiply
    763.20x = 1,053.13 × 564.14
  4. Step 4: Simplify right side
    763.20x = 594,112.76
  5. Step 5: Solve for x
    x = 594,112.76/763.20
  6. Step 6: Final answer
    x = 778.45

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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.