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Finding the Fourth Proportional to 1,140.46, 1,573.76 and 748.02

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Solution

The fourth proportional to 1,140.46, 1,573.76 and 748.02 is: 1,032.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.46 : 1,573.76 = 748.02 : x
  2. Step 2: Convert to fraction form
    1,140.46/1,573.76 = 748.02/x
  3. Step 3: Cross multiply
    1,140.46x = 1,573.76 × 748.02
  4. Step 4: Simplify right side
    1,140.46x = 1,177,203.96
  5. Step 5: Solve for x
    x = 1,177,203.96/1,140.46
  6. Step 6: Final answer
    x = 1,032.22

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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.