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Finding the Fourth Proportional to 715.75, 987.72 and 401.02

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Solution

The fourth proportional to 715.75, 987.72 and 401.02 is: 553.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.75 : 987.72 = 401.02 : x
  2. Step 2: Convert to fraction form
    715.75/987.72 = 401.02/x
  3. Step 3: Cross multiply
    715.75x = 987.72 × 401.02
  4. Step 4: Simplify right side
    715.75x = 396,095.47
  5. Step 5: Solve for x
    x = 396,095.47/715.75
  6. Step 6: Final answer
    x = 553.40

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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.