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Finding the Fourth Proportional to 837.60, 1,155.85 and 464.60

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Solution

The fourth proportional to 837.60, 1,155.85 and 464.60 is: 641.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.60 : 1,155.85 = 464.60 : x
  2. Step 2: Convert to fraction form
    837.60/1,155.85 = 464.60/x
  3. Step 3: Cross multiply
    837.60x = 1,155.85 × 464.60
  4. Step 4: Simplify right side
    837.60x = 537,007.91
  5. Step 5: Solve for x
    x = 537,007.91/837.60
  6. Step 6: Final answer
    x = 641.13

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1.5x scale

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.