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Finding the Fourth Proportional to 1,017.53, 1,404.03 and 575.33

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Solution

The fourth proportional to 1,017.53, 1,404.03 and 575.33 is: 793.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.53 : 1,404.03 = 575.33 : x
  2. Step 2: Convert to fraction form
    1,017.53/1,404.03 = 575.33/x
  3. Step 3: Cross multiply
    1,017.53x = 1,404.03 × 575.33
  4. Step 4: Simplify right side
    1,017.53x = 807,780.58
  5. Step 5: Solve for x
    x = 807,780.58/1,017.53
  6. Step 6: Final answer
    x = 793.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.