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Finding the Fourth Proportional to 1,167.20, 1,750.34 and 582.01

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Solution

The fourth proportional to 1,167.20, 1,750.34 and 582.01 is: 872.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.20 : 1,750.34 = 582.01 : x
  2. Step 2: Convert to fraction form
    1,167.20/1,750.34 = 582.01/x
  3. Step 3: Cross multiply
    1,167.20x = 1,750.34 × 582.01
  4. Step 4: Simplify right side
    1,167.20x = 1,018,712.46
  5. Step 5: Solve for x
    x = 1,018,712.46/1,167.20
  6. Step 6: Final answer
    x = 872.78

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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.