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Finding the Fourth Proportional to 801.98, 1,106.61 and 470.51

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Solution

The fourth proportional to 801.98, 1,106.61 and 470.51 is: 649.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.98 : 1,106.61 = 470.51 : x
  2. Step 2: Convert to fraction form
    801.98/1,106.61 = 470.51/x
  3. Step 3: Cross multiply
    801.98x = 1,106.61 × 470.51
  4. Step 4: Simplify right side
    801.98x = 520,665.54
  5. Step 5: Solve for x
    x = 520,665.54/801.98
  6. Step 6: Final answer
    x = 649.23

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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.