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Finding the Fourth Proportional to 1,549.95, 2,325.38 and 575.82

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Solution

The fourth proportional to 1,549.95, 2,325.38 and 575.82 is: 863.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.95 : 2,325.38 = 575.82 : x
  2. Step 2: Convert to fraction form
    1,549.95/2,325.38 = 575.82/x
  3. Step 3: Cross multiply
    1,549.95x = 2,325.38 × 575.82
  4. Step 4: Simplify right side
    1,549.95x = 1,338,997.43
  5. Step 5: Solve for x
    x = 1,338,997.43/1,549.95
  6. Step 6: Final answer
    x = 863.90

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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.