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Finding the Fourth Proportional to 715.96, 987.60 and 494.92

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Solution

The fourth proportional to 715.96, 987.60 and 494.92 is: 682.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.96 : 987.60 = 494.92 : x
  2. Step 2: Convert to fraction form
    715.96/987.60 = 494.92/x
  3. Step 3: Cross multiply
    715.96x = 987.60 × 494.92
  4. Step 4: Simplify right side
    715.96x = 488,782.99
  5. Step 5: Solve for x
    x = 488,782.99/715.96
  6. Step 6: Final answer
    x = 682.70

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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.