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Finding the Fourth Proportional to 1,569.20, 2,353.91 and 529.19

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Solution

The fourth proportional to 1,569.20, 2,353.91 and 529.19 is: 793.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.20 : 2,353.91 = 529.19 : x
  2. Step 2: Convert to fraction form
    1,569.20/2,353.91 = 529.19/x
  3. Step 3: Cross multiply
    1,569.20x = 2,353.91 × 529.19
  4. Step 4: Simplify right side
    1,569.20x = 1,245,665.63
  5. Step 5: Solve for x
    x = 1,245,665.63/1,569.20
  6. Step 6: Final answer
    x = 793.82

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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.