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Finding the Fourth Proportional to 1,126.74, 1,543.65 and 1,123.50

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Solution

The fourth proportional to 1,126.74, 1,543.65 and 1,123.50 is: 1,539.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.74 : 1,543.65 = 1,123.50 : x
  2. Step 2: Convert to fraction form
    1,126.74/1,543.65 = 1,123.50/x
  3. Step 3: Cross multiply
    1,126.74x = 1,543.65 × 1,123.50
  4. Step 4: Simplify right side
    1,126.74x = 1,734,290.78
  5. Step 5: Solve for x
    x = 1,734,290.78/1,126.74
  6. Step 6: Final answer
    x = 1,539.21

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.