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Finding the Fourth Proportional to 1,167.12, 1,749.90 and 386.86

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Solution

The fourth proportional to 1,167.12, 1,749.90 and 386.86 is: 580.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.12 : 1,749.90 = 386.86 : x
  2. Step 2: Convert to fraction form
    1,167.12/1,749.90 = 386.86/x
  3. Step 3: Cross multiply
    1,167.12x = 1,749.90 × 386.86
  4. Step 4: Simplify right side
    1,167.12x = 676,966.31
  5. Step 5: Solve for x
    x = 676,966.31/1,167.12
  6. Step 6: Final answer
    x = 580.03

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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.