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Finding the Fourth Proportional to 1,176.11, 1,766.07 and 970.25

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Solution

The fourth proportional to 1,176.11, 1,766.07 and 970.25 is: 1,456.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.11 : 1,766.07 = 970.25 : x
  2. Step 2: Convert to fraction form
    1,176.11/1,766.07 = 970.25/x
  3. Step 3: Cross multiply
    1,176.11x = 1,766.07 × 970.25
  4. Step 4: Simplify right side
    1,176.11x = 1,713,529.42
  5. Step 5: Solve for x
    x = 1,713,529.42/1,176.11
  6. Step 6: Final answer
    x = 1,456.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.