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Finding the Fourth Proportional to 1,356.74, 2,034.74 and 576.71

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Solution

The fourth proportional to 1,356.74, 2,034.74 and 576.71 is: 864.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.74 : 2,034.74 = 576.71 : x
  2. Step 2: Convert to fraction form
    1,356.74/2,034.74 = 576.71/x
  3. Step 3: Cross multiply
    1,356.74x = 2,034.74 × 576.71
  4. Step 4: Simplify right side
    1,356.74x = 1,173,454.91
  5. Step 5: Solve for x
    x = 1,173,454.91/1,356.74
  6. Step 6: Final answer
    x = 864.91

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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.