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Finding the Fourth Proportional to 1,309.65, 1,964.47 and 488.13

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Solution

The fourth proportional to 1,309.65, 1,964.47 and 488.13 is: 732.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.65 : 1,964.47 = 488.13 : x
  2. Step 2: Convert to fraction form
    1,309.65/1,964.47 = 488.13/x
  3. Step 3: Cross multiply
    1,309.65x = 1,964.47 × 488.13
  4. Step 4: Simplify right side
    1,309.65x = 958,916.74
  5. Step 5: Solve for x
    x = 958,916.74/1,309.65
  6. Step 6: Final answer
    x = 732.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.