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Finding the Fourth Proportional to 1,432.95, 1,974.78 and 990.06

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Solution

The fourth proportional to 1,432.95, 1,974.78 and 990.06 is: 1,364.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.95 : 1,974.78 = 990.06 : x
  2. Step 2: Convert to fraction form
    1,432.95/1,974.78 = 990.06/x
  3. Step 3: Cross multiply
    1,432.95x = 1,974.78 × 990.06
  4. Step 4: Simplify right side
    1,432.95x = 1,955,150.69
  5. Step 5: Solve for x
    x = 1,955,150.69/1,432.95
  6. Step 6: Final answer
    x = 1,364.42

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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.