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Finding the Fourth Proportional to 741.48, 1,021.86 and 534.12

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Solution

The fourth proportional to 741.48, 1,021.86 and 534.12 is: 736.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.48 : 1,021.86 = 534.12 : x
  2. Step 2: Convert to fraction form
    741.48/1,021.86 = 534.12/x
  3. Step 3: Cross multiply
    741.48x = 1,021.86 × 534.12
  4. Step 4: Simplify right side
    741.48x = 545,795.86
  5. Step 5: Solve for x
    x = 545,795.86/741.48
  6. Step 6: Final answer
    x = 736.09

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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.