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Finding the Fourth Proportional to 718.46, 1,076.66 and 563.70

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Solution

The fourth proportional to 718.46, 1,076.66 and 563.70 is: 844.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.46 : 1,076.66 = 563.70 : x
  2. Step 2: Convert to fraction form
    718.46/1,076.66 = 563.70/x
  3. Step 3: Cross multiply
    718.46x = 1,076.66 × 563.70
  4. Step 4: Simplify right side
    718.46x = 606,913.24
  5. Step 5: Solve for x
    x = 606,913.24/718.46
  6. Step 6: Final answer
    x = 844.74

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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.