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Finding the Fourth Proportional to 1,521.78, 2,281.32 and 598

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Solution

The fourth proportional to 1,521.78, 2,281.32 and 598 is: 896.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.78 : 2,281.32 = 598 : x
  2. Step 2: Convert to fraction form
    1,521.78/2,281.32 = 598/x
  3. Step 3: Cross multiply
    1,521.78x = 2,281.32 × 598
  4. Step 4: Simplify right side
    1,521.78x = 1,364,229.36
  5. Step 5: Solve for x
    x = 1,364,229.36/1,521.78
  6. Step 6: Final answer
    x = 896.47

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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.