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Finding the Fourth Proportional to 782.55, 1,171.40 and 586.46

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Solution

The fourth proportional to 782.55, 1,171.40 and 586.46 is: 877.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.55 : 1,171.40 = 586.46 : x
  2. Step 2: Convert to fraction form
    782.55/1,171.40 = 586.46/x
  3. Step 3: Cross multiply
    782.55x = 1,171.40 × 586.46
  4. Step 4: Simplify right side
    782.55x = 686,979.24
  5. Step 5: Solve for x
    x = 686,979.24/782.55
  6. Step 6: Final answer
    x = 877.87

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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.