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Finding the Fourth Proportional to 1,070.38, 1,594.85 and 1,023.19

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Solution

The fourth proportional to 1,070.38, 1,594.85 and 1,023.19 is: 1,524.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.38 : 1,594.85 = 1,023.19 : x
  2. Step 2: Convert to fraction form
    1,070.38/1,594.85 = 1,023.19/x
  3. Step 3: Cross multiply
    1,070.38x = 1,594.85 × 1,023.19
  4. Step 4: Simplify right side
    1,070.38x = 1,631,834.57
  5. Step 5: Solve for x
    x = 1,631,834.57/1,070.38
  6. Step 6: Final answer
    x = 1,524.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.