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Finding the Fourth Proportional to 852.34, 1,175.68 and 557.60

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Solution

The fourth proportional to 852.34, 1,175.68 and 557.60 is: 769.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.34 : 1,175.68 = 557.60 : x
  2. Step 2: Convert to fraction form
    852.34/1,175.68 = 557.60/x
  3. Step 3: Cross multiply
    852.34x = 1,175.68 × 557.60
  4. Step 4: Simplify right side
    852.34x = 655,560.60
  5. Step 5: Solve for x
    x = 655,560.60/852.34
  6. Step 6: Final answer
    x = 769.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.