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Finding the Fourth Proportional to 1,009.56, 1,514.57 and 489.81

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Solution

The fourth proportional to 1,009.56, 1,514.57 and 489.81 is: 734.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.56 : 1,514.57 = 489.81 : x
  2. Step 2: Convert to fraction form
    1,009.56/1,514.57 = 489.81/x
  3. Step 3: Cross multiply
    1,009.56x = 1,514.57 × 489.81
  4. Step 4: Simplify right side
    1,009.56x = 741,852.76
  5. Step 5: Solve for x
    x = 741,852.76/1,009.56
  6. Step 6: Final answer
    x = 734.83

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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.