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Finding the Fourth Proportional to 562.60, 774.90 and 559.24

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Solution

The fourth proportional to 562.60, 774.90 and 559.24 is: 770.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.60 : 774.90 = 559.24 : x
  2. Step 2: Convert to fraction form
    562.60/774.90 = 559.24/x
  3. Step 3: Cross multiply
    562.60x = 774.90 × 559.24
  4. Step 4: Simplify right side
    562.60x = 433,355.08
  5. Step 5: Solve for x
    x = 433,355.08/562.60
  6. Step 6: Final answer
    x = 770.27

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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.