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Finding the Fourth Proportional to 1,166.32, 1,607.90 and 792.72

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Solution

The fourth proportional to 1,166.32, 1,607.90 and 792.72 is: 1,092.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.32 : 1,607.90 = 792.72 : x
  2. Step 2: Convert to fraction form
    1,166.32/1,607.90 = 792.72/x
  3. Step 3: Cross multiply
    1,166.32x = 1,607.90 × 792.72
  4. Step 4: Simplify right side
    1,166.32x = 1,274,614.49
  5. Step 5: Solve for x
    x = 1,274,614.49/1,166.32
  6. Step 6: Final answer
    x = 1,092.85

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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.