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Finding the Fourth Proportional to 718.34, 1,076.54 and 410.08

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Solution

The fourth proportional to 718.34, 1,076.54 and 410.08 is: 614.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.34 : 1,076.54 = 410.08 : x
  2. Step 2: Convert to fraction form
    718.34/1,076.54 = 410.08/x
  3. Step 3: Cross multiply
    718.34x = 1,076.54 × 410.08
  4. Step 4: Simplify right side
    718.34x = 441,467.52
  5. Step 5: Solve for x
    x = 441,467.52/718.34
  6. Step 6: Final answer
    x = 614.57

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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.