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Finding the Fourth Proportional to 715.48, 987.42 and 598.84

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Solution

The fourth proportional to 715.48, 987.42 and 598.84 is: 826.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.48 : 987.42 = 598.84 : x
  2. Step 2: Convert to fraction form
    715.48/987.42 = 598.84/x
  3. Step 3: Cross multiply
    715.48x = 987.42 × 598.84
  4. Step 4: Simplify right side
    715.48x = 591,306.59
  5. Step 5: Solve for x
    x = 591,306.59/715.48
  6. Step 6: Final answer
    x = 826.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.