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Finding the Fourth Proportional to 741.80, 1,024.24 and 565.08

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Solution

The fourth proportional to 741.80, 1,024.24 and 565.08 is: 780.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.80 : 1,024.24 = 565.08 : x
  2. Step 2: Convert to fraction form
    741.80/1,024.24 = 565.08/x
  3. Step 3: Cross multiply
    741.80x = 1,024.24 × 565.08
  4. Step 4: Simplify right side
    741.80x = 578,777.54
  5. Step 5: Solve for x
    x = 578,777.54/741.80
  6. Step 6: Final answer
    x = 780.23

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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.