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Finding the Fourth Proportional to 1,695.68, 2,542.91 and 584.79

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Solution

The fourth proportional to 1,695.68, 2,542.91 and 584.79 is: 876.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,695.68 : 2,542.91 = 584.79 : x
  2. Step 2: Convert to fraction form
    1,695.68/2,542.91 = 584.79/x
  3. Step 3: Cross multiply
    1,695.68x = 2,542.91 × 584.79
  4. Step 4: Simplify right side
    1,695.68x = 1,487,065.41
  5. Step 5: Solve for x
    x = 1,487,065.41/1,695.68
  6. Step 6: Final answer
    x = 876.97

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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.