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Finding the Fourth Proportional to 1,074.29, 1,608.80 and 524.70

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Solution

The fourth proportional to 1,074.29, 1,608.80 and 524.70 is: 785.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.29 : 1,608.80 = 524.70 : x
  2. Step 2: Convert to fraction form
    1,074.29/1,608.80 = 524.70/x
  3. Step 3: Cross multiply
    1,074.29x = 1,608.80 × 524.70
  4. Step 4: Simplify right side
    1,074.29x = 844,134.74
  5. Step 5: Solve for x
    x = 844,134.74/1,074.29
  6. Step 6: Final answer
    x = 785.76

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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.