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Finding the Fourth Proportional to 1,126.08, 1,689.12 and 346.05

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Solution

The fourth proportional to 1,126.08, 1,689.12 and 346.05 is: 519.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.08 : 1,689.12 = 346.05 : x
  2. Step 2: Convert to fraction form
    1,126.08/1,689.12 = 346.05/x
  3. Step 3: Cross multiply
    1,126.08x = 1,689.12 × 346.05
  4. Step 4: Simplify right side
    1,126.08x = 584,519.98
  5. Step 5: Solve for x
    x = 584,519.98/1,126.08
  6. Step 6: Final answer
    x = 519.08

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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.