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Finding the Fourth Proportional to 1,062.98, 1,594.46 and 575.92

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Solution

The fourth proportional to 1,062.98, 1,594.46 and 575.92 is: 863.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.98 : 1,594.46 = 575.92 : x
  2. Step 2: Convert to fraction form
    1,062.98/1,594.46 = 575.92/x
  3. Step 3: Cross multiply
    1,062.98x = 1,594.46 × 575.92
  4. Step 4: Simplify right side
    1,062.98x = 918,281.40
  5. Step 5: Solve for x
    x = 918,281.40/1,062.98
  6. Step 6: Final answer
    x = 863.87

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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.