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Finding the Fourth Proportional to 837.49, 1,155.74 and 464.47

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Solution

The fourth proportional to 837.49, 1,155.74 and 464.47 is: 640.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.49 : 1,155.74 = 464.47 : x
  2. Step 2: Convert to fraction form
    837.49/1,155.74 = 464.47/x
  3. Step 3: Cross multiply
    837.49x = 1,155.74 × 464.47
  4. Step 4: Simplify right side
    837.49x = 536,809.16
  5. Step 5: Solve for x
    x = 536,809.16/837.49
  6. Step 6: Final answer
    x = 640.98

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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.