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Finding the Fourth Proportional to 1,129.18, 1,696.86 and 609.56

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Solution

The fourth proportional to 1,129.18, 1,696.86 and 609.56 is: 916.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.18 : 1,696.86 = 609.56 : x
  2. Step 2: Convert to fraction form
    1,129.18/1,696.86 = 609.56/x
  3. Step 3: Cross multiply
    1,129.18x = 1,696.86 × 609.56
  4. Step 4: Simplify right side
    1,129.18x = 1,034,337.98
  5. Step 5: Solve for x
    x = 1,034,337.98/1,129.18
  6. Step 6: Final answer
    x = 916.01

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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.