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Finding the Fourth Proportional to 1,122.66, 1,549.53 and 729.81

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Solution

The fourth proportional to 1,122.66, 1,549.53 and 729.81 is: 1,007.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.66 : 1,549.53 = 729.81 : x
  2. Step 2: Convert to fraction form
    1,122.66/1,549.53 = 729.81/x
  3. Step 3: Cross multiply
    1,122.66x = 1,549.53 × 729.81
  4. Step 4: Simplify right side
    1,122.66x = 1,130,862.49
  5. Step 5: Solve for x
    x = 1,130,862.49/1,122.66
  6. Step 6: Final answer
    x = 1,007.31

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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.