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Finding the Fourth Proportional to 741.69, 1,023.66 and 565.24

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Solution

The fourth proportional to 741.69, 1,023.66 and 565.24 is: 780.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.69 : 1,023.66 = 565.24 : x
  2. Step 2: Convert to fraction form
    741.69/1,023.66 = 565.24/x
  3. Step 3: Cross multiply
    741.69x = 1,023.66 × 565.24
  4. Step 4: Simplify right side
    741.69x = 578,611.02
  5. Step 5: Solve for x
    x = 578,611.02/741.69
  6. Step 6: Final answer
    x = 780.12

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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.