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Finding the Fourth Proportional to 1,486.94, 2,231.18 and 707.83

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Solution

The fourth proportional to 1,486.94, 2,231.18 and 707.83 is: 1,062.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.94 : 2,231.18 = 707.83 : x
  2. Step 2: Convert to fraction form
    1,486.94/2,231.18 = 707.83/x
  3. Step 3: Cross multiply
    1,486.94x = 2,231.18 × 707.83
  4. Step 4: Simplify right side
    1,486.94x = 1,579,281.44
  5. Step 5: Solve for x
    x = 1,579,281.44/1,486.94
  6. Step 6: Final answer
    x = 1,062.10

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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.