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Finding the Fourth Proportional to 801.45, 1,105.81 and 465.30

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Solution

The fourth proportional to 801.45, 1,105.81 and 465.30 is: 642.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.45 : 1,105.81 = 465.30 : x
  2. Step 2: Convert to fraction form
    801.45/1,105.81 = 465.30/x
  3. Step 3: Cross multiply
    801.45x = 1,105.81 × 465.30
  4. Step 4: Simplify right side
    801.45x = 514,532.23
  5. Step 5: Solve for x
    x = 514,532.23/801.45
  6. Step 6: Final answer
    x = 642.00

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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.