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Finding the Fourth Proportional to 837.63, 1,155.88 and 464.60

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Solution

The fourth proportional to 837.63, 1,155.88 and 464.60 is: 641.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.63 : 1,155.88 = 464.60 : x
  2. Step 2: Convert to fraction form
    837.63/1,155.88 = 464.60/x
  3. Step 3: Cross multiply
    837.63x = 1,155.88 × 464.60
  4. Step 4: Simplify right side
    837.63x = 537,022.08
  5. Step 5: Solve for x
    x = 537,022.08/837.63
  6. Step 6: Final answer
    x = 641.12

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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.