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Finding the Fourth Proportional to 741.12, 1,022.40 and 461.16

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Solution

The fourth proportional to 741.12, 1,022.40 and 461.16 is: 636.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.12 : 1,022.40 = 461.16 : x
  2. Step 2: Convert to fraction form
    741.12/1,022.40 = 461.16/x
  3. Step 3: Cross multiply
    741.12x = 1,022.40 × 461.16
  4. Step 4: Simplify right side
    741.12x = 471,489.98
  5. Step 5: Solve for x
    x = 471,489.98/741.12
  6. Step 6: Final answer
    x = 636.19

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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.