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Finding the Fourth Proportional to 837.64, 1,156.12 and 464.75

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Solution

The fourth proportional to 837.64, 1,156.12 and 464.75 is: 641.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.64 : 1,156.12 = 464.75 : x
  2. Step 2: Convert to fraction form
    837.64/1,156.12 = 464.75/x
  3. Step 3: Cross multiply
    837.64x = 1,156.12 × 464.75
  4. Step 4: Simplify right side
    837.64x = 537,301.57
  5. Step 5: Solve for x
    x = 537,301.57/837.64
  6. Step 6: Final answer
    x = 641.45

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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.