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Finding the Fourth Proportional to 741.34, 1,022 and 531.14

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Solution

The fourth proportional to 741.34, 1,022 and 531.14 is: 732.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.34 : 1,022 = 531.14 : x
  2. Step 2: Convert to fraction form
    741.34/1,022 = 531.14/x
  3. Step 3: Cross multiply
    741.34x = 1,022 × 531.14
  4. Step 4: Simplify right side
    741.34x = 542,825.08
  5. Step 5: Solve for x
    x = 542,825.08/741.34
  6. Step 6: Final answer
    x = 732.22

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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.