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Finding the Fourth Proportional to 782.76, 1,172.52 and 588.06

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Solution

The fourth proportional to 782.76, 1,172.52 and 588.06 is: 880.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.76 : 1,172.52 = 588.06 : x
  2. Step 2: Convert to fraction form
    782.76/1,172.52 = 588.06/x
  3. Step 3: Cross multiply
    782.76x = 1,172.52 × 588.06
  4. Step 4: Simplify right side
    782.76x = 689,512.11
  5. Step 5: Solve for x
    x = 689,512.11/782.76
  6. Step 6: Final answer
    x = 880.87

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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.