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Finding the Fourth Proportional to 1,200.32, 1,654.40 and 950.48

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Solution

The fourth proportional to 1,200.32, 1,654.40 and 950.48 is: 1,310.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.32 : 1,654.40 = 950.48 : x
  2. Step 2: Convert to fraction form
    1,200.32/1,654.40 = 950.48/x
  3. Step 3: Cross multiply
    1,200.32x = 1,654.40 × 950.48
  4. Step 4: Simplify right side
    1,200.32x = 1,572,474.11
  5. Step 5: Solve for x
    x = 1,572,474.11/1,200.32
  6. Step 6: Final answer
    x = 1,310.05

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Why These Related Problems?

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