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Finding the Fourth Proportional to 1,572.92, 2,359.83 and 598.79

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Solution

The fourth proportional to 1,572.92, 2,359.83 and 598.79 is: 898.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.92 : 2,359.83 = 598.79 : x
  2. Step 2: Convert to fraction form
    1,572.92/2,359.83 = 598.79/x
  3. Step 3: Cross multiply
    1,572.92x = 2,359.83 × 598.79
  4. Step 4: Simplify right side
    1,572.92x = 1,413,050.75
  5. Step 5: Solve for x
    x = 1,413,050.75/1,572.92
  6. Step 6: Final answer
    x = 898.36

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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.