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Finding the Fourth Proportional to 1,287.65, 1,930.17 and 465.68

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Solution

The fourth proportional to 1,287.65, 1,930.17 and 465.68 is: 698.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287.65 : 1,930.17 = 465.68 : x
  2. Step 2: Convert to fraction form
    1,287.65/1,930.17 = 465.68/x
  3. Step 3: Cross multiply
    1,287.65x = 1,930.17 × 465.68
  4. Step 4: Simplify right side
    1,287.65x = 898,841.57
  5. Step 5: Solve for x
    x = 898,841.57/1,287.65
  6. Step 6: Final answer
    x = 698.05

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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.