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Finding the Fourth Proportional to 1,569.92, 2,355.69 and 596.72

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Solution

The fourth proportional to 1,569.92, 2,355.69 and 596.72 is: 895.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569.92 : 2,355.69 = 596.72 : x
  2. Step 2: Convert to fraction form
    1,569.92/2,355.69 = 596.72/x
  3. Step 3: Cross multiply
    1,569.92x = 2,355.69 × 596.72
  4. Step 4: Simplify right side
    1,569.92x = 1,405,687.34
  5. Step 5: Solve for x
    x = 1,405,687.34/1,569.92
  6. Step 6: Final answer
    x = 895.39

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Why These Related Problems?

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