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Finding the Fourth Proportional to 1,575.71, 2,363.57 and 535.71

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Solution

The fourth proportional to 1,575.71, 2,363.57 and 535.71 is: 803.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.71 : 2,363.57 = 535.71 : x
  2. Step 2: Convert to fraction form
    1,575.71/2,363.57 = 535.71/x
  3. Step 3: Cross multiply
    1,575.71x = 2,363.57 × 535.71
  4. Step 4: Simplify right side
    1,575.71x = 1,266,185.41
  5. Step 5: Solve for x
    x = 1,266,185.41/1,575.71
  6. Step 6: Final answer
    x = 803.57

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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.