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Finding the Fourth Proportional to 1,062.26, 1,592.61 and 568.62

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Solution

The fourth proportional to 1,062.26, 1,592.61 and 568.62 is: 852.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.26 : 1,592.61 = 568.62 : x
  2. Step 2: Convert to fraction form
    1,062.26/1,592.61 = 568.62/x
  3. Step 3: Cross multiply
    1,062.26x = 1,592.61 × 568.62
  4. Step 4: Simplify right side
    1,062.26x = 905,590.96
  5. Step 5: Solve for x
    x = 905,590.96/1,062.26
  6. Step 6: Final answer
    x = 852.51

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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.