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Finding the Fourth Proportional to 1,053.54, 1,454.05 and 751.18

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Solution

The fourth proportional to 1,053.54, 1,454.05 and 751.18 is: 1,036.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.54 : 1,454.05 = 751.18 : x
  2. Step 2: Convert to fraction form
    1,053.54/1,454.05 = 751.18/x
  3. Step 3: Cross multiply
    1,053.54x = 1,454.05 × 751.18
  4. Step 4: Simplify right side
    1,053.54x = 1,092,253.28
  5. Step 5: Solve for x
    x = 1,092,253.28/1,053.54
  6. Step 6: Final answer
    x = 1,036.75

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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.