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Finding the Fourth Proportional to 1,122.59, 1,549.82 and 750.80

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Solution

The fourth proportional to 1,122.59, 1,549.82 and 750.80 is: 1,036.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.59 : 1,549.82 = 750.80 : x
  2. Step 2: Convert to fraction form
    1,122.59/1,549.82 = 750.80/x
  3. Step 3: Cross multiply
    1,122.59x = 1,549.82 × 750.80
  4. Step 4: Simplify right side
    1,122.59x = 1,163,593.35
  5. Step 5: Solve for x
    x = 1,163,593.35/1,122.59
  6. Step 6: Final answer
    x = 1,036.53

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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.