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Finding the Fourth Proportional to 1,032.53, 1,546.65 and 754.70

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Solution

The fourth proportional to 1,032.53, 1,546.65 and 754.70 is: 1,130.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.53 : 1,546.65 = 754.70 : x
  2. Step 2: Convert to fraction form
    1,032.53/1,546.65 = 754.70/x
  3. Step 3: Cross multiply
    1,032.53x = 1,546.65 × 754.70
  4. Step 4: Simplify right side
    1,032.53x = 1,167,256.76
  5. Step 5: Solve for x
    x = 1,167,256.76/1,032.53
  6. Step 6: Final answer
    x = 1,130.48

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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.