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Finding the Fourth Proportional to 650.07, 894.78 and 566.24

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Solution

The fourth proportional to 650.07, 894.78 and 566.24 is: 779.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.07 : 894.78 = 566.24 : x
  2. Step 2: Convert to fraction form
    650.07/894.78 = 566.24/x
  3. Step 3: Cross multiply
    650.07x = 894.78 × 566.24
  4. Step 4: Simplify right side
    650.07x = 506,655.75
  5. Step 5: Solve for x
    x = 506,655.75/650.07
  6. Step 6: Final answer
    x = 779.39

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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.