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Finding the Fourth Proportional to 801.92, 1,106.16 and 507.08

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Solution

The fourth proportional to 801.92, 1,106.16 and 507.08 is: 699.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.92 : 1,106.16 = 507.08 : x
  2. Step 2: Convert to fraction form
    801.92/1,106.16 = 507.08/x
  3. Step 3: Cross multiply
    801.92x = 1,106.16 × 507.08
  4. Step 4: Simplify right side
    801.92x = 560,911.61
  5. Step 5: Solve for x
    x = 560,911.61/801.92
  6. Step 6: Final answer
    x = 699.46

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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.