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Finding the Fourth Proportional to 873.87, 1,309.99 and 386.65

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Solution

The fourth proportional to 873.87, 1,309.99 and 386.65 is: 579.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.87 : 1,309.99 = 386.65 : x
  2. Step 2: Convert to fraction form
    873.87/1,309.99 = 386.65/x
  3. Step 3: Cross multiply
    873.87x = 1,309.99 × 386.65
  4. Step 4: Simplify right side
    873.87x = 506,507.63
  5. Step 5: Solve for x
    x = 506,507.63/873.87
  6. Step 6: Final answer
    x = 579.61

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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.