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Finding the Fourth Proportional to 865.80, 1,297.89 and 648.72

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Solution

The fourth proportional to 865.80, 1,297.89 and 648.72 is: 972.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.80 : 1,297.89 = 648.72 : x
  2. Step 2: Convert to fraction form
    865.80/1,297.89 = 648.72/x
  3. Step 3: Cross multiply
    865.80x = 1,297.89 × 648.72
  4. Step 4: Simplify right side
    865.80x = 841,967.20
  5. Step 5: Solve for x
    x = 841,967.20/865.80
  6. Step 6: Final answer
    x = 972.47

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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.