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Finding the Fourth Proportional to 1,284.12, 1,927.17 and 553.95

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Solution

The fourth proportional to 1,284.12, 1,927.17 and 553.95 is: 831.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.12 : 1,927.17 = 553.95 : x
  2. Step 2: Convert to fraction form
    1,284.12/1,927.17 = 553.95/x
  3. Step 3: Cross multiply
    1,284.12x = 1,927.17 × 553.95
  4. Step 4: Simplify right side
    1,284.12x = 1,067,555.82
  5. Step 5: Solve for x
    x = 1,067,555.82/1,284.12
  6. Step 6: Final answer
    x = 831.35

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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.