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Finding the Fourth Proportional to 1,062.87, 1,594.94 and 575.91

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Solution

The fourth proportional to 1,062.87, 1,594.94 and 575.91 is: 864.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.87 : 1,594.94 = 575.91 : x
  2. Step 2: Convert to fraction form
    1,062.87/1,594.94 = 575.91/x
  3. Step 3: Cross multiply
    1,062.87x = 1,594.94 × 575.91
  4. Step 4: Simplify right side
    1,062.87x = 918,539.02
  5. Step 5: Solve for x
    x = 918,539.02/1,062.87
  6. Step 6: Final answer
    x = 864.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.