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Finding the Fourth Proportional to 840.74, 1,158.32 and 630.59

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Solution

The fourth proportional to 840.74, 1,158.32 and 630.59 is: 868.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.74 : 1,158.32 = 630.59 : x
  2. Step 2: Convert to fraction form
    840.74/1,158.32 = 630.59/x
  3. Step 3: Cross multiply
    840.74x = 1,158.32 × 630.59
  4. Step 4: Simplify right side
    840.74x = 730,420.79
  5. Step 5: Solve for x
    x = 730,420.79/840.74
  6. Step 6: Final answer
    x = 868.79

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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.