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Finding the Fourth Proportional to 763.68, 1,145.76 and 560.88

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Solution

The fourth proportional to 763.68, 1,145.76 and 560.88 is: 841.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.68 : 1,145.76 = 560.88 : x
  2. Step 2: Convert to fraction form
    763.68/1,145.76 = 560.88/x
  3. Step 3: Cross multiply
    763.68x = 1,145.76 × 560.88
  4. Step 4: Simplify right side
    763.68x = 642,633.87
  5. Step 5: Solve for x
    x = 642,633.87/763.68
  6. Step 6: Final answer
    x = 841.50

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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.