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Finding the Fourth Proportional to 801.93, 1,106.49 and 507.03

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Solution

The fourth proportional to 801.93, 1,106.49 and 507.03 is: 699.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.93 : 1,106.49 = 507.03 : x
  2. Step 2: Convert to fraction form
    801.93/1,106.49 = 507.03/x
  3. Step 3: Cross multiply
    801.93x = 1,106.49 × 507.03
  4. Step 4: Simplify right side
    801.93x = 561,023.62
  5. Step 5: Solve for x
    x = 561,023.62/801.93
  6. Step 6: Final answer
    x = 699.59

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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.