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Finding the Fourth Proportional to 1,017.82, 1,404.71 and 575.83

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Solution

The fourth proportional to 1,017.82, 1,404.71 and 575.83 is: 794.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.82 : 1,404.71 = 575.83 : x
  2. Step 2: Convert to fraction form
    1,017.82/1,404.71 = 575.83/x
  3. Step 3: Cross multiply
    1,017.82x = 1,404.71 × 575.83
  4. Step 4: Simplify right side
    1,017.82x = 808,874.16
  5. Step 5: Solve for x
    x = 808,874.16/1,017.82
  6. Step 6: Final answer
    x = 794.71

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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.