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Finding the Fourth Proportional to 1,171.46, 1,615.07 and 971.55

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Solution

The fourth proportional to 1,171.46, 1,615.07 and 971.55 is: 1,339.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.46 : 1,615.07 = 971.55 : x
  2. Step 2: Convert to fraction form
    1,171.46/1,615.07 = 971.55/x
  3. Step 3: Cross multiply
    1,171.46x = 1,615.07 × 971.55
  4. Step 4: Simplify right side
    1,171.46x = 1,569,123.69
  5. Step 5: Solve for x
    x = 1,569,123.69/1,171.46
  6. Step 6: Final answer
    x = 1,339.46

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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.