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Finding the Fourth Proportional to 840.34, 1,257.87 and 531.12

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Solution

The fourth proportional to 840.34, 1,257.87 and 531.12 is: 795.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.34 : 1,257.87 = 531.12 : x
  2. Step 2: Convert to fraction form
    840.34/1,257.87 = 531.12/x
  3. Step 3: Cross multiply
    840.34x = 1,257.87 × 531.12
  4. Step 4: Simplify right side
    840.34x = 668,079.91
  5. Step 5: Solve for x
    x = 668,079.91/840.34
  6. Step 6: Final answer
    x = 795.01

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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.