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Finding the Fourth Proportional to 1,244.80, 1,862.40 and 757.76

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Solution

The fourth proportional to 1,244.80, 1,862.40 and 757.76 is: 1,133.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.80 : 1,862.40 = 757.76 : x
  2. Step 2: Convert to fraction form
    1,244.80/1,862.40 = 757.76/x
  3. Step 3: Cross multiply
    1,244.80x = 1,862.40 × 757.76
  4. Step 4: Simplify right side
    1,244.80x = 1,411,252.22
  5. Step 5: Solve for x
    x = 1,411,252.22/1,244.80
  6. Step 6: Final answer
    x = 1,133.72

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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.