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Finding the Fourth Proportional to 837.06, 1,155.08 and 464.01

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Solution

The fourth proportional to 837.06, 1,155.08 and 464.01 is: 640.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.06 : 1,155.08 = 464.01 : x
  2. Step 2: Convert to fraction form
    837.06/1,155.08 = 464.01/x
  3. Step 3: Cross multiply
    837.06x = 1,155.08 × 464.01
  4. Step 4: Simplify right side
    837.06x = 535,962.90
  5. Step 5: Solve for x
    x = 535,962.90/837.06
  6. Step 6: Final answer
    x = 640.29

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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.