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Finding the Fourth Proportional to 1,530.09, 2,295.29 and 489.83

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Solution

The fourth proportional to 1,530.09, 2,295.29 and 489.83 is: 734.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530.09 : 2,295.29 = 489.83 : x
  2. Step 2: Convert to fraction form
    1,530.09/2,295.29 = 489.83/x
  3. Step 3: Cross multiply
    1,530.09x = 2,295.29 × 489.83
  4. Step 4: Simplify right side
    1,530.09x = 1,124,301.80
  5. Step 5: Solve for x
    x = 1,124,301.80/1,530.09
  6. Step 6: Final answer
    x = 734.79

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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.