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Finding the Fourth Proportional to 718.47, 1,076.49 and 409.86

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Solution

The fourth proportional to 718.47, 1,076.49 and 409.86 is: 614.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.47 : 1,076.49 = 409.86 : x
  2. Step 2: Convert to fraction form
    718.47/1,076.49 = 409.86/x
  3. Step 3: Cross multiply
    718.47x = 1,076.49 × 409.86
  4. Step 4: Simplify right side
    718.47x = 441,210.19
  5. Step 5: Solve for x
    x = 441,210.19/718.47
  6. Step 6: Final answer
    x = 614.10

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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.