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Finding the Fourth Proportional to 1,572.78, 2,359.25 and 598.96

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Solution

The fourth proportional to 1,572.78, 2,359.25 and 598.96 is: 898.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.78 : 2,359.25 = 598.96 : x
  2. Step 2: Convert to fraction form
    1,572.78/2,359.25 = 598.96/x
  3. Step 3: Cross multiply
    1,572.78x = 2,359.25 × 598.96
  4. Step 4: Simplify right side
    1,572.78x = 1,413,096.38
  5. Step 5: Solve for x
    x = 1,413,096.38/1,572.78
  6. Step 6: Final answer
    x = 898.47

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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.