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Finding the Fourth Proportional to 1,238.04, 1,854.72 and 659.52

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Solution

The fourth proportional to 1,238.04, 1,854.72 and 659.52 is: 988.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.04 : 1,854.72 = 659.52 : x
  2. Step 2: Convert to fraction form
    1,238.04/1,854.72 = 659.52/x
  3. Step 3: Cross multiply
    1,238.04x = 1,854.72 × 659.52
  4. Step 4: Simplify right side
    1,238.04x = 1,223,224.93
  5. Step 5: Solve for x
    x = 1,223,224.93/1,238.04
  6. Step 6: Final answer
    x = 988.03

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