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Finding the Fourth Proportional to 1,242.02, 1,862.17 and 829.93

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Solution

The fourth proportional to 1,242.02, 1,862.17 and 829.93 is: 1,244.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.02 : 1,862.17 = 829.93 : x
  2. Step 2: Convert to fraction form
    1,242.02/1,862.17 = 829.93/x
  3. Step 3: Cross multiply
    1,242.02x = 1,862.17 × 829.93
  4. Step 4: Simplify right side
    1,242.02x = 1,545,470.75
  5. Step 5: Solve for x
    x = 1,545,470.75/1,242.02
  6. Step 6: Final answer
    x = 1,244.32

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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.