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Finding the Fourth Proportional to 1,521.40, 2,282.64 and 790.96

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Solution

The fourth proportional to 1,521.40, 2,282.64 and 790.96 is: 1,186.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.40 : 2,282.64 = 790.96 : x
  2. Step 2: Convert to fraction form
    1,521.40/2,282.64 = 790.96/x
  3. Step 3: Cross multiply
    1,521.40x = 2,282.64 × 790.96
  4. Step 4: Simplify right side
    1,521.40x = 1,805,476.93
  5. Step 5: Solve for x
    x = 1,805,476.93/1,521.40
  6. Step 6: Final answer
    x = 1,186.72

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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.