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Finding the Fourth Proportional to 1,282.18, 1,924.11 and 705.46

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Solution

The fourth proportional to 1,282.18, 1,924.11 and 705.46 is: 1,058.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.18 : 1,924.11 = 705.46 : x
  2. Step 2: Convert to fraction form
    1,282.18/1,924.11 = 705.46/x
  3. Step 3: Cross multiply
    1,282.18x = 1,924.11 × 705.46
  4. Step 4: Simplify right side
    1,282.18x = 1,357,382.64
  5. Step 5: Solve for x
    x = 1,357,382.64/1,282.18
  6. Step 6: Final answer
    x = 1,058.65

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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.