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Finding the Fourth Proportional to 708.69, 1,061.70 and 489.45

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Solution

The fourth proportional to 708.69, 1,061.70 and 489.45 is: 733.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.69 : 1,061.70 = 489.45 : x
  2. Step 2: Convert to fraction form
    708.69/1,061.70 = 489.45/x
  3. Step 3: Cross multiply
    708.69x = 1,061.70 × 489.45
  4. Step 4: Simplify right side
    708.69x = 519,649.07
  5. Step 5: Solve for x
    x = 519,649.07/708.69
  6. Step 6: Final answer
    x = 733.25

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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.