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Finding the Fourth Proportional to 659.76, 987.48 and 402

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Solution

The fourth proportional to 659.76, 987.48 and 402 is: 601.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.76 : 987.48 = 402 : x
  2. Step 2: Convert to fraction form
    659.76/987.48 = 402/x
  3. Step 3: Cross multiply
    659.76x = 987.48 × 402
  4. Step 4: Simplify right side
    659.76x = 396,966.96
  5. Step 5: Solve for x
    x = 396,966.96/659.76
  6. Step 6: Final answer
    x = 601.68

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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.