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Finding the Fourth Proportional to 1,284.65, 1,780.27 and 1,260.04

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Solution

The fourth proportional to 1,284.65, 1,780.27 and 1,260.04 is: 1,746.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.65 : 1,780.27 = 1,260.04 : x
  2. Step 2: Convert to fraction form
    1,284.65/1,780.27 = 1,260.04/x
  3. Step 3: Cross multiply
    1,284.65x = 1,780.27 × 1,260.04
  4. Step 4: Simplify right side
    1,284.65x = 2,243,211.41
  5. Step 5: Solve for x
    x = 2,243,211.41/1,284.65
  6. Step 6: Final answer
    x = 1,746.17

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.