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Finding the Fourth Proportional to 1,010.16, 1,514.31 and 489.83

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Solution

The fourth proportional to 1,010.16, 1,514.31 and 489.83 is: 734.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.16 : 1,514.31 = 489.83 : x
  2. Step 2: Convert to fraction form
    1,010.16/1,514.31 = 489.83/x
  3. Step 3: Cross multiply
    1,010.16x = 1,514.31 × 489.83
  4. Step 4: Simplify right side
    1,010.16x = 741,746.90
  5. Step 5: Solve for x
    x = 741,746.90/1,010.16
  6. Step 6: Final answer
    x = 734.29

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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.