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Finding the Fourth Proportional to 1,284.72, 1,926.66 and 553.84

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Solution

The fourth proportional to 1,284.72, 1,926.66 and 553.84 is: 830.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.72 : 1,926.66 = 553.84 : x
  2. Step 2: Convert to fraction form
    1,284.72/1,926.66 = 553.84/x
  3. Step 3: Cross multiply
    1,284.72x = 1,926.66 × 553.84
  4. Step 4: Simplify right side
    1,284.72x = 1,067,061.37
  5. Step 5: Solve for x
    x = 1,067,061.37/1,284.72
  6. Step 6: Final answer
    x = 830.58

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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.