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Finding the Fourth Proportional to 715.40, 987.14 and 400.66

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Solution

The fourth proportional to 715.40, 987.14 and 400.66 is: 552.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.40 : 987.14 = 400.66 : x
  2. Step 2: Convert to fraction form
    715.40/987.14 = 400.66/x
  3. Step 3: Cross multiply
    715.40x = 987.14 × 400.66
  4. Step 4: Simplify right side
    715.40x = 395,506.05
  5. Step 5: Solve for x
    x = 395,506.05/715.40
  6. Step 6: Final answer
    x = 552.85

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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.