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Finding the Fourth Proportional to 1,569.56, 2,353.55 and 595.44

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Solution

The fourth proportional to 1,569.56, 2,353.55 and 595.44 is: 892.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.56 : 2,353.55 = 595.44 : x
  2. Step 2: Convert to fraction form
    1,569.56/2,353.55 = 595.44/x
  3. Step 3: Cross multiply
    1,569.56x = 2,353.55 × 595.44
  4. Step 4: Simplify right side
    1,569.56x = 1,401,394.83
  5. Step 5: Solve for x
    x = 1,401,394.83/1,569.56
  6. Step 6: Final answer
    x = 892.86

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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.