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Finding the Fourth Proportional to 716.04, 987.86 and 421.20

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Solution

The fourth proportional to 716.04, 987.86 and 421.20 is: 581.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.04 : 987.86 = 421.20 : x
  2. Step 2: Convert to fraction form
    716.04/987.86 = 421.20/x
  3. Step 3: Cross multiply
    716.04x = 987.86 × 421.20
  4. Step 4: Simplify right side
    716.04x = 416,084.53
  5. Step 5: Solve for x
    x = 416,084.53/716.04
  6. Step 6: Final answer
    x = 581.09

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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.