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Finding the Fourth Proportional to 1,496.86, 2,065.58 and 866.92

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Solution

The fourth proportional to 1,496.86, 2,065.58 and 866.92 is: 1,196.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.86 : 2,065.58 = 866.92 : x
  2. Step 2: Convert to fraction form
    1,496.86/2,065.58 = 866.92/x
  3. Step 3: Cross multiply
    1,496.86x = 2,065.58 × 866.92
  4. Step 4: Simplify right side
    1,496.86x = 1,790,692.61
  5. Step 5: Solve for x
    x = 1,790,692.61/1,496.86
  6. Step 6: Final answer
    x = 1,196.30

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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.