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Finding the Fourth Proportional to 1,239.16, 1,859.26 and 964.84

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Solution

The fourth proportional to 1,239.16, 1,859.26 and 964.84 is: 1,447.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.16 : 1,859.26 = 964.84 : x
  2. Step 2: Convert to fraction form
    1,239.16/1,859.26 = 964.84/x
  3. Step 3: Cross multiply
    1,239.16x = 1,859.26 × 964.84
  4. Step 4: Simplify right side
    1,239.16x = 1,793,888.42
  5. Step 5: Solve for x
    x = 1,793,888.42/1,239.16
  6. Step 6: Final answer
    x = 1,447.66

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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.