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Finding the Fourth Proportional to 1,239.06, 1,856.49 and 964.02

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Solution

The fourth proportional to 1,239.06, 1,856.49 and 964.02 is: 1,444.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.06 : 1,856.49 = 964.02 : x
  2. Step 2: Convert to fraction form
    1,239.06/1,856.49 = 964.02/x
  3. Step 3: Cross multiply
    1,239.06x = 1,856.49 × 964.02
  4. Step 4: Simplify right side
    1,239.06x = 1,789,693.49
  5. Step 5: Solve for x
    x = 1,789,693.49/1,239.06
  6. Step 6: Final answer
    x = 1,444.40

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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.