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Finding the Fourth Proportional to 1,526.80, 2,106.90 and 863.68

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Solution

The fourth proportional to 1,526.80, 2,106.90 and 863.68 is: 1,191.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,526.80 : 2,106.90 = 863.68 : x
  2. Step 2: Convert to fraction form
    1,526.80/2,106.90 = 863.68/x
  3. Step 3: Cross multiply
    1,526.80x = 2,106.90 × 863.68
  4. Step 4: Simplify right side
    1,526.80x = 1,819,687.39
  5. Step 5: Solve for x
    x = 1,819,687.39/1,526.80
  6. Step 6: Final answer
    x = 1,191.83

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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.