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Finding the Fourth Proportional to 715.61, 987.54 and 420.86

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Solution

The fourth proportional to 715.61, 987.54 and 420.86 is: 580.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.61 : 987.54 = 420.86 : x
  2. Step 2: Convert to fraction form
    715.61/987.54 = 420.86/x
  3. Step 3: Cross multiply
    715.61x = 987.54 × 420.86
  4. Step 4: Simplify right side
    715.61x = 415,616.08
  5. Step 5: Solve for x
    x = 415,616.08/715.61
  6. Step 6: Final answer
    x = 580.79

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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.