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Finding the Fourth Proportional to 1,575.32, 2,363.28 and 845.71

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Solution

The fourth proportional to 1,575.32, 2,363.28 and 845.71 is: 1,268.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.32 : 2,363.28 = 845.71 : x
  2. Step 2: Convert to fraction form
    1,575.32/2,363.28 = 845.71/x
  3. Step 3: Cross multiply
    1,575.32x = 2,363.28 × 845.71
  4. Step 4: Simplify right side
    1,575.32x = 1,998,649.53
  5. Step 5: Solve for x
    x = 1,998,649.53/1,575.32
  6. Step 6: Final answer
    x = 1,268.73

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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.