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Finding the Fourth Proportional to 1,126.12, 1,689.29 and 467.86

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Solution

The fourth proportional to 1,126.12, 1,689.29 and 467.86 is: 701.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.12 : 1,689.29 = 467.86 : x
  2. Step 2: Convert to fraction form
    1,126.12/1,689.29 = 467.86/x
  3. Step 3: Cross multiply
    1,126.12x = 1,689.29 × 467.86
  4. Step 4: Simplify right side
    1,126.12x = 790,351.22
  5. Step 5: Solve for x
    x = 790,351.22/1,126.12
  6. Step 6: Final answer
    x = 701.84

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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.