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Finding the Fourth Proportional to 1,138.55, 1,705.80 and 964.40

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Solution

The fourth proportional to 1,138.55, 1,705.80 and 964.40 is: 1,444.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.55 : 1,705.80 = 964.40 : x
  2. Step 2: Convert to fraction form
    1,138.55/1,705.80 = 964.40/x
  3. Step 3: Cross multiply
    1,138.55x = 1,705.80 × 964.40
  4. Step 4: Simplify right side
    1,138.55x = 1,645,073.52
  5. Step 5: Solve for x
    x = 1,645,073.52/1,138.55
  6. Step 6: Final answer
    x = 1,444.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.