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Finding the Fourth Proportional to 989.19, 1,365.42 and 657.70

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Solution

The fourth proportional to 989.19, 1,365.42 and 657.70 is: 907.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.19 : 1,365.42 = 657.70 : x
  2. Step 2: Convert to fraction form
    989.19/1,365.42 = 657.70/x
  3. Step 3: Cross multiply
    989.19x = 1,365.42 × 657.70
  4. Step 4: Simplify right side
    989.19x = 898,036.73
  5. Step 5: Solve for x
    x = 898,036.73/989.19
  6. Step 6: Final answer
    x = 907.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.