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Finding the Fourth Proportional to 715.67, 987.51 and 400.95

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Solution

The fourth proportional to 715.67, 987.51 and 400.95 is: 553.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.67 : 987.51 = 400.95 : x
  2. Step 2: Convert to fraction form
    715.67/987.51 = 400.95/x
  3. Step 3: Cross multiply
    715.67x = 987.51 × 400.95
  4. Step 4: Simplify right side
    715.67x = 395,942.13
  5. Step 5: Solve for x
    x = 395,942.13/715.67
  6. Step 6: Final answer
    x = 553.25

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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.