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Finding the Fourth Proportional to 1,575.82, 2,363.14 and 464.87

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Solution

The fourth proportional to 1,575.82, 2,363.14 and 464.87 is: 697.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.82 : 2,363.14 = 464.87 : x
  2. Step 2: Convert to fraction form
    1,575.82/2,363.14 = 464.87/x
  3. Step 3: Cross multiply
    1,575.82x = 2,363.14 × 464.87
  4. Step 4: Simplify right side
    1,575.82x = 1,098,559.38
  5. Step 5: Solve for x
    x = 1,098,559.38/1,575.82
  6. Step 6: Final answer
    x = 697.13

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Why These Related Problems?

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