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Finding the Fourth Proportional to 1,453.81, 2,006.30 and 864.35

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Solution

The fourth proportional to 1,453.81, 2,006.30 and 864.35 is: 1,192.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.81 : 2,006.30 = 864.35 : x
  2. Step 2: Convert to fraction form
    1,453.81/2,006.30 = 864.35/x
  3. Step 3: Cross multiply
    1,453.81x = 2,006.30 × 864.35
  4. Step 4: Simplify right side
    1,453.81x = 1,734,145.41
  5. Step 5: Solve for x
    x = 1,734,145.41/1,453.81
  6. Step 6: Final answer
    x = 1,192.83

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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.