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Finding the Fourth Proportional to 966.84, 1,331.34 and 865.69

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Solution

The fourth proportional to 966.84, 1,331.34 and 865.69 is: 1,192.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.84 : 1,331.34 = 865.69 : x
  2. Step 2: Convert to fraction form
    966.84/1,331.34 = 865.69/x
  3. Step 3: Cross multiply
    966.84x = 1,331.34 × 865.69
  4. Step 4: Simplify right side
    966.84x = 1,152,521.15
  5. Step 5: Solve for x
    x = 1,152,521.15/966.84
  6. Step 6: Final answer
    x = 1,192.05

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1.5x scale

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.