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Finding the Fourth Proportional to 715.88, 987.76 and 421.04

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Solution

The fourth proportional to 715.88, 987.76 and 421.04 is: 580.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.88 : 987.76 = 421.04 : x
  2. Step 2: Convert to fraction form
    715.88/987.76 = 421.04/x
  3. Step 3: Cross multiply
    715.88x = 987.76 × 421.04
  4. Step 4: Simplify right side
    715.88x = 415,879.43
  5. Step 5: Solve for x
    x = 415,879.43/715.88
  6. Step 6: Final answer
    x = 580.94

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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.