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Finding the Fourth Proportional to 837.10, 1,155.23 and 464.08

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Solution

The fourth proportional to 837.10, 1,155.23 and 464.08 is: 640.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.10 : 1,155.23 = 464.08 : x
  2. Step 2: Convert to fraction form
    837.10/1,155.23 = 464.08/x
  3. Step 3: Cross multiply
    837.10x = 1,155.23 × 464.08
  4. Step 4: Simplify right side
    837.10x = 536,119.14
  5. Step 5: Solve for x
    x = 536,119.14/837.10
  6. Step 6: Final answer
    x = 640.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.