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Finding the Fourth Proportional to 861.32, 1,291.43 and 586.58

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Solution

The fourth proportional to 861.32, 1,291.43 and 586.58 is: 879.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.32 : 1,291.43 = 586.58 : x
  2. Step 2: Convert to fraction form
    861.32/1,291.43 = 586.58/x
  3. Step 3: Cross multiply
    861.32x = 1,291.43 × 586.58
  4. Step 4: Simplify right side
    861.32x = 757,522.02
  5. Step 5: Solve for x
    x = 757,522.02/861.32
  6. Step 6: Final answer
    x = 879.49

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Why These Related Problems?

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