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Finding the Fourth Proportional to 801.55, 1,106.63 and 633.07

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Solution

The fourth proportional to 801.55, 1,106.63 and 633.07 is: 874.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.55 : 1,106.63 = 633.07 : x
  2. Step 2: Convert to fraction form
    801.55/1,106.63 = 633.07/x
  3. Step 3: Cross multiply
    801.55x = 1,106.63 × 633.07
  4. Step 4: Simplify right side
    801.55x = 700,574.25
  5. Step 5: Solve for x
    x = 700,574.25/801.55
  6. Step 6: Final answer
    x = 874.02

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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.