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Finding the Fourth Proportional to 718.36, 1,077.96 and 410.65

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Solution

The fourth proportional to 718.36, 1,077.96 and 410.65 is: 616.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.36 : 1,077.96 = 410.65 : x
  2. Step 2: Convert to fraction form
    718.36/1,077.96 = 410.65/x
  3. Step 3: Cross multiply
    718.36x = 1,077.96 × 410.65
  4. Step 4: Simplify right side
    718.36x = 442,656.83
  5. Step 5: Solve for x
    x = 442,656.83/718.36
  6. Step 6: Final answer
    x = 616.21

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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.