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Finding the Fourth Proportional to 1,432.52, 1,975.72 and 990.32

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Solution

The fourth proportional to 1,432.52, 1,975.72 and 990.32 is: 1,365.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.52 : 1,975.72 = 990.32 : x
  2. Step 2: Convert to fraction form
    1,432.52/1,975.72 = 990.32/x
  3. Step 3: Cross multiply
    1,432.52x = 1,975.72 × 990.32
  4. Step 4: Simplify right side
    1,432.52x = 1,956,595.03
  5. Step 5: Solve for x
    x = 1,956,595.03/1,432.52
  6. Step 6: Final answer
    x = 1,365.84

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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.