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Finding the Fourth Proportional to 1,479.68, 2,041.91 and 816.49

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Solution

The fourth proportional to 1,479.68, 2,041.91 and 816.49 is: 1,126.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,479.68 : 2,041.91 = 816.49 : x
  2. Step 2: Convert to fraction form
    1,479.68/2,041.91 = 816.49/x
  3. Step 3: Cross multiply
    1,479.68x = 2,041.91 × 816.49
  4. Step 4: Simplify right side
    1,479.68x = 1,667,199.10
  5. Step 5: Solve for x
    x = 1,667,199.10/1,479.68
  6. Step 6: Final answer
    x = 1,126.73

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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.