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Finding the Fourth Proportional to 1,455.87, 2,008.88 and 834.75

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Solution

The fourth proportional to 1,455.87, 2,008.88 and 834.75 is: 1,151.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.87 : 2,008.88 = 834.75 : x
  2. Step 2: Convert to fraction form
    1,455.87/2,008.88 = 834.75/x
  3. Step 3: Cross multiply
    1,455.87x = 2,008.88 × 834.75
  4. Step 4: Simplify right side
    1,455.87x = 1,676,908.41
  5. Step 5: Solve for x
    x = 1,676,908.41/1,455.87
  6. Step 6: Final answer
    x = 1,151.83

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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.