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Finding the Fourth Proportional to 1,238.40, 1,856.24 and 690.32

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Solution

The fourth proportional to 1,238.40, 1,856.24 and 690.32 is: 1,034.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.40 : 1,856.24 = 690.32 : x
  2. Step 2: Convert to fraction form
    1,238.40/1,856.24 = 690.32/x
  3. Step 3: Cross multiply
    1,238.40x = 1,856.24 × 690.32
  4. Step 4: Simplify right side
    1,238.40x = 1,281,399.60
  5. Step 5: Solve for x
    x = 1,281,399.60/1,238.40
  6. Step 6: Final answer
    x = 1,034.72

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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.