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Finding the Fourth Proportional to 1,356.80, 2,034.62 and 432.04

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Solution

The fourth proportional to 1,356.80, 2,034.62 and 432.04 is: 647.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.80 : 2,034.62 = 432.04 : x
  2. Step 2: Convert to fraction form
    1,356.80/2,034.62 = 432.04/x
  3. Step 3: Cross multiply
    1,356.80x = 2,034.62 × 432.04
  4. Step 4: Simplify right side
    1,356.80x = 879,037.22
  5. Step 5: Solve for x
    x = 879,037.22/1,356.80
  6. Step 6: Final answer
    x = 647.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.