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Finding the Fourth Proportional to 1,167.96, 1,611.18 and 947.16

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Solution

The fourth proportional to 1,167.96, 1,611.18 and 947.16 is: 1,306.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.96 : 1,611.18 = 947.16 : x
  2. Step 2: Convert to fraction form
    1,167.96/1,611.18 = 947.16/x
  3. Step 3: Cross multiply
    1,167.96x = 1,611.18 × 947.16
  4. Step 4: Simplify right side
    1,167.96x = 1,526,045.25
  5. Step 5: Solve for x
    x = 1,526,045.25/1,167.96
  6. Step 6: Final answer
    x = 1,306.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.