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Finding the Fourth Proportional to 829.60, 1,247.10 and 710.80

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Solution

The fourth proportional to 829.60, 1,247.10 and 710.80 is: 1,068.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.60 : 1,247.10 = 710.80 : x
  2. Step 2: Convert to fraction form
    829.60/1,247.10 = 710.80/x
  3. Step 3: Cross multiply
    829.60x = 1,247.10 × 710.80
  4. Step 4: Simplify right side
    829.60x = 886,438.68
  5. Step 5: Solve for x
    x = 886,438.68/829.60
  6. Step 6: Final answer
    x = 1,068.51

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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.