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Finding the Fourth Proportional to 1,023.21, 1,535.19 and 590.25

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Solution

The fourth proportional to 1,023.21, 1,535.19 and 590.25 is: 885.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.21 : 1,535.19 = 590.25 : x
  2. Step 2: Convert to fraction form
    1,023.21/1,535.19 = 590.25/x
  3. Step 3: Cross multiply
    1,023.21x = 1,535.19 × 590.25
  4. Step 4: Simplify right side
    1,023.21x = 906,145.90
  5. Step 5: Solve for x
    x = 906,145.90/1,023.21
  6. Step 6: Final answer
    x = 885.59

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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.