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Finding the Fourth Proportional to 715.88, 987.78 and 421.16

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Solution

The fourth proportional to 715.88, 987.78 and 421.16 is: 581.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.88 : 987.78 = 421.16 : x
  2. Step 2: Convert to fraction form
    715.88/987.78 = 421.16/x
  3. Step 3: Cross multiply
    715.88x = 987.78 × 421.16
  4. Step 4: Simplify right side
    715.88x = 416,013.42
  5. Step 5: Solve for x
    x = 416,013.42/715.88
  6. Step 6: Final answer
    x = 581.12

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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.