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Finding the Fourth Proportional to 1,017.30, 1,403.82 and 575.28

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Solution

The fourth proportional to 1,017.30, 1,403.82 and 575.28 is: 793.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.30 : 1,403.82 = 575.28 : x
  2. Step 2: Convert to fraction form
    1,017.30/1,403.82 = 575.28/x
  3. Step 3: Cross multiply
    1,017.30x = 1,403.82 × 575.28
  4. Step 4: Simplify right side
    1,017.30x = 807,589.57
  5. Step 5: Solve for x
    x = 807,589.57/1,017.30
  6. Step 6: Final answer
    x = 793.86

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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.