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Finding the Fourth Proportional to 920.28, 1,269.45 and 752.52

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Solution

The fourth proportional to 920.28, 1,269.45 and 752.52 is: 1,038.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.28 : 1,269.45 = 752.52 : x
  2. Step 2: Convert to fraction form
    920.28/1,269.45 = 752.52/x
  3. Step 3: Cross multiply
    920.28x = 1,269.45 × 752.52
  4. Step 4: Simplify right side
    920.28x = 955,286.51
  5. Step 5: Solve for x
    x = 955,286.51/920.28
  6. Step 6: Final answer
    x = 1,038.04

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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.