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Finding the Fourth Proportional to 690.28, 1,032.66 and 473.20

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Solution

The fourth proportional to 690.28, 1,032.66 and 473.20 is: 707.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.28 : 1,032.66 = 473.20 : x
  2. Step 2: Convert to fraction form
    690.28/1,032.66 = 473.20/x
  3. Step 3: Cross multiply
    690.28x = 1,032.66 × 473.20
  4. Step 4: Simplify right side
    690.28x = 488,654.71
  5. Step 5: Solve for x
    x = 488,654.71/690.28
  6. Step 6: Final answer
    x = 707.91

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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.