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Finding the Fourth Proportional to 1,479.20, 2,041.29 and 816.08

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Solution

The fourth proportional to 1,479.20, 2,041.29 and 816.08 is: 1,126.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,479.20 : 2,041.29 = 816.08 : x
  2. Step 2: Convert to fraction form
    1,479.20/2,041.29 = 816.08/x
  3. Step 3: Cross multiply
    1,479.20x = 2,041.29 × 816.08
  4. Step 4: Simplify right side
    1,479.20x = 1,665,845.74
  5. Step 5: Solve for x
    x = 1,665,845.74/1,479.20
  6. Step 6: Final answer
    x = 1,126.18

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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.