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Finding the Fourth Proportional to 865.02, 1,298.56 and 587.60

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Solution

The fourth proportional to 865.02, 1,298.56 and 587.60 is: 882.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.02 : 1,298.56 = 587.60 : x
  2. Step 2: Convert to fraction form
    865.02/1,298.56 = 587.60/x
  3. Step 3: Cross multiply
    865.02x = 1,298.56 × 587.60
  4. Step 4: Simplify right side
    865.02x = 763,033.86
  5. Step 5: Solve for x
    x = 763,033.86/865.02
  6. Step 6: Final answer
    x = 882.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.