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Finding the Fourth Proportional to 772.50, 1,158.42 and 407.10

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Solution

The fourth proportional to 772.50, 1,158.42 and 407.10 is: 610.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.50 : 1,158.42 = 407.10 : x
  2. Step 2: Convert to fraction form
    772.50/1,158.42 = 407.10/x
  3. Step 3: Cross multiply
    772.50x = 1,158.42 × 407.10
  4. Step 4: Simplify right side
    772.50x = 471,592.78
  5. Step 5: Solve for x
    x = 471,592.78/772.50
  6. Step 6: Final answer
    x = 610.48

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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.