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Finding the Fourth Proportional to 712.74, 1,070.01 and 550.53

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Solution

The fourth proportional to 712.74, 1,070.01 and 550.53 is: 826.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    712.74 : 1,070.01 = 550.53 : x
  2. Step 2: Convert to fraction form
    712.74/1,070.01 = 550.53/x
  3. Step 3: Cross multiply
    712.74x = 1,070.01 × 550.53
  4. Step 4: Simplify right side
    712.74x = 589,072.61
  5. Step 5: Solve for x
    x = 589,072.61/712.74
  6. Step 6: Final answer
    x = 826.49

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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.