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Finding the Fourth Proportional to 1,345.67, 2,017.41 and 576.71

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Solution

The fourth proportional to 1,345.67, 2,017.41 and 576.71 is: 864.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,345.67 : 2,017.41 = 576.71 : x
  2. Step 2: Convert to fraction form
    1,345.67/2,017.41 = 576.71/x
  3. Step 3: Cross multiply
    1,345.67x = 2,017.41 × 576.71
  4. Step 4: Simplify right side
    1,345.67x = 1,163,450.43
  5. Step 5: Solve for x
    x = 1,163,450.43/1,345.67
  6. Step 6: Final answer
    x = 864.59

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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.