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Finding the Fourth Proportional to 1,397.90, 2,095.32 and 575.75

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Solution

The fourth proportional to 1,397.90, 2,095.32 and 575.75 is: 862.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.90 : 2,095.32 = 575.75 : x
  2. Step 2: Convert to fraction form
    1,397.90/2,095.32 = 575.75/x
  3. Step 3: Cross multiply
    1,397.90x = 2,095.32 × 575.75
  4. Step 4: Simplify right side
    1,397.90x = 1,206,380.49
  5. Step 5: Solve for x
    x = 1,206,380.49/1,397.90
  6. Step 6: Final answer
    x = 862.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.