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Finding the Fourth Proportional to 1,003.74, 1,385.03 and 561.53

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Solution

The fourth proportional to 1,003.74, 1,385.03 and 561.53 is: 774.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.74 : 1,385.03 = 561.53 : x
  2. Step 2: Convert to fraction form
    1,003.74/1,385.03 = 561.53/x
  3. Step 3: Cross multiply
    1,003.74x = 1,385.03 × 561.53
  4. Step 4: Simplify right side
    1,003.74x = 777,728.97
  5. Step 5: Solve for x
    x = 777,728.97/1,003.74
  6. Step 6: Final answer
    x = 774.83

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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.