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Finding the Fourth Proportional to 1,572.45, 2,359.21 and 598.69

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Solution

The fourth proportional to 1,572.45, 2,359.21 and 598.69 is: 898.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,572.45 : 2,359.21 = 598.69 : x
  2. Step 2: Convert to fraction form
    1,572.45/2,359.21 = 598.69/x
  3. Step 3: Cross multiply
    1,572.45x = 2,359.21 × 598.69
  4. Step 4: Simplify right side
    1,572.45x = 1,412,435.43
  5. Step 5: Solve for x
    x = 1,412,435.43/1,572.45
  6. Step 6: Final answer
    x = 898.24

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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.