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Finding the Fourth Proportional to 763.30, 1,146.78 and 489.93

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Solution

The fourth proportional to 763.30, 1,146.78 and 489.93 is: 736.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.30 : 1,146.78 = 489.93 : x
  2. Step 2: Convert to fraction form
    763.30/1,146.78 = 489.93/x
  3. Step 3: Cross multiply
    763.30x = 1,146.78 × 489.93
  4. Step 4: Simplify right side
    763.30x = 561,841.93
  5. Step 5: Solve for x
    x = 561,841.93/763.30
  6. Step 6: Final answer
    x = 736.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.