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Finding the Fourth Proportional to 1,545.65, 2,318.88 and 680.16

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Solution

The fourth proportional to 1,545.65, 2,318.88 and 680.16 is: 1,020.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.65 : 2,318.88 = 680.16 : x
  2. Step 2: Convert to fraction form
    1,545.65/2,318.88 = 680.16/x
  3. Step 3: Cross multiply
    1,545.65x = 2,318.88 × 680.16
  4. Step 4: Simplify right side
    1,545.65x = 1,577,216.84
  5. Step 5: Solve for x
    x = 1,577,216.84/1,545.65
  6. Step 6: Final answer
    x = 1,020.42

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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.