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Finding the Fourth Proportional to 716.61, 1,074.08 and 586.83

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Solution

The fourth proportional to 716.61, 1,074.08 and 586.83 is: 879.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.61 : 1,074.08 = 586.83 : x
  2. Step 2: Convert to fraction form
    716.61/1,074.08 = 586.83/x
  3. Step 3: Cross multiply
    716.61x = 1,074.08 × 586.83
  4. Step 4: Simplify right side
    716.61x = 630,294.06
  5. Step 5: Solve for x
    x = 630,294.06/716.61
  6. Step 6: Final answer
    x = 879.56

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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.