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Finding the Fourth Proportional to 1,052.60, 1,452.84 and 604.72

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Solution

The fourth proportional to 1,052.60, 1,452.84 and 604.72 is: 834.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.60 : 1,452.84 = 604.72 : x
  2. Step 2: Convert to fraction form
    1,052.60/1,452.84 = 604.72/x
  3. Step 3: Cross multiply
    1,052.60x = 1,452.84 × 604.72
  4. Step 4: Simplify right side
    1,052.60x = 878,552.78
  5. Step 5: Solve for x
    x = 878,552.78/1,052.60
  6. Step 6: Final answer
    x = 834.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.