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Finding the Fourth Proportional to 1,717.42, 2,576.01 and 484.78

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Solution

The fourth proportional to 1,717.42, 2,576.01 and 484.78 is: 727.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,717.42 : 2,576.01 = 484.78 : x
  2. Step 2: Convert to fraction form
    1,717.42/2,576.01 = 484.78/x
  3. Step 3: Cross multiply
    1,717.42x = 2,576.01 × 484.78
  4. Step 4: Simplify right side
    1,717.42x = 1,248,798.13
  5. Step 5: Solve for x
    x = 1,248,798.13/1,717.42
  6. Step 6: Final answer
    x = 727.14

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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.