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Finding the Fourth Proportional to 861.76, 1,292.88 and 285.04

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Solution

The fourth proportional to 861.76, 1,292.88 and 285.04 is: 427.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.76 : 1,292.88 = 285.04 : x
  2. Step 2: Convert to fraction form
    861.76/1,292.88 = 285.04/x
  3. Step 3: Cross multiply
    861.76x = 1,292.88 × 285.04
  4. Step 4: Simplify right side
    861.76x = 368,522.52
  5. Step 5: Solve for x
    x = 368,522.52/861.76
  6. Step 6: Final answer
    x = 427.64

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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.