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Finding the Fourth Proportional to 738.52, 1,109.35 and 464.81

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Solution

The fourth proportional to 738.52, 1,109.35 and 464.81 is: 698.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.52 : 1,109.35 = 464.81 : x
  2. Step 2: Convert to fraction form
    738.52/1,109.35 = 464.81/x
  3. Step 3: Cross multiply
    738.52x = 1,109.35 × 464.81
  4. Step 4: Simplify right side
    738.52x = 515,632.01
  5. Step 5: Solve for x
    x = 515,632.01/738.52
  6. Step 6: Final answer
    x = 698.20

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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.