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Finding the Fourth Proportional to 718.65, 1,076.45 and 410.34

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Solution

The fourth proportional to 718.65, 1,076.45 and 410.34 is: 614.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.65 : 1,076.45 = 410.34 : x
  2. Step 2: Convert to fraction form
    718.65/1,076.45 = 410.34/x
  3. Step 3: Cross multiply
    718.65x = 1,076.45 × 410.34
  4. Step 4: Simplify right side
    718.65x = 441,710.49
  5. Step 5: Solve for x
    x = 441,710.49/718.65
  6. Step 6: Final answer
    x = 614.64

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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.