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Finding the Fourth Proportional to 738.27, 1,019.12 and 505.53

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Solution

The fourth proportional to 738.27, 1,019.12 and 505.53 is: 697.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.27 : 1,019.12 = 505.53 : x
  2. Step 2: Convert to fraction form
    738.27/1,019.12 = 505.53/x
  3. Step 3: Cross multiply
    738.27x = 1,019.12 × 505.53
  4. Step 4: Simplify right side
    738.27x = 515,193.21
  5. Step 5: Solve for x
    x = 515,193.21/738.27
  6. Step 6: Final answer
    x = 697.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.