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Finding the Fourth Proportional to 1,035.32, 1,549.76 and 773.78

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Solution

The fourth proportional to 1,035.32, 1,549.76 and 773.78 is: 1,158.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.32 : 1,549.76 = 773.78 : x
  2. Step 2: Convert to fraction form
    1,035.32/1,549.76 = 773.78/x
  3. Step 3: Cross multiply
    1,035.32x = 1,549.76 × 773.78
  4. Step 4: Simplify right side
    1,035.32x = 1,199,161.68
  5. Step 5: Solve for x
    x = 1,199,161.68/1,035.32
  6. Step 6: Final answer
    x = 1,158.26

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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.