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Finding the Fourth Proportional to 771.35, 1,155.80 and 424.17

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Solution

The fourth proportional to 771.35, 1,155.80 and 424.17 is: 635.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.35 : 1,155.80 = 424.17 : x
  2. Step 2: Convert to fraction form
    771.35/1,155.80 = 424.17/x
  3. Step 3: Cross multiply
    771.35x = 1,155.80 × 424.17
  4. Step 4: Simplify right side
    771.35x = 490,253.57
  5. Step 5: Solve for x
    x = 490,253.57/771.35
  6. Step 6: Final answer
    x = 635.58

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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.