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Finding the Fourth Proportional to 837.07, 1,155.13 and 464.02

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Solution

The fourth proportional to 837.07, 1,155.13 and 464.02 is: 640.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.07 : 1,155.13 = 464.02 : x
  2. Step 2: Convert to fraction form
    837.07/1,155.13 = 464.02/x
  3. Step 3: Cross multiply
    837.07x = 1,155.13 × 464.02
  4. Step 4: Simplify right side
    837.07x = 536,003.42
  5. Step 5: Solve for x
    x = 536,003.42/837.07
  6. Step 6: Final answer
    x = 640.33

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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.