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Finding the Fourth Proportional to 1,064.82, 1,594.53 and 717.78

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Solution

The fourth proportional to 1,064.82, 1,594.53 and 717.78 is: 1,074.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.82 : 1,594.53 = 717.78 : x
  2. Step 2: Convert to fraction form
    1,064.82/1,594.53 = 717.78/x
  3. Step 3: Cross multiply
    1,064.82x = 1,594.53 × 717.78
  4. Step 4: Simplify right side
    1,064.82x = 1,144,521.74
  5. Step 5: Solve for x
    x = 1,144,521.74/1,064.82
  6. Step 6: Final answer
    x = 1,074.85

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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.