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Finding the Fourth Proportional to 600.54, 826.77 and 569.76

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Solution

The fourth proportional to 600.54, 826.77 and 569.76 is: 784.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    600.54 : 826.77 = 569.76 : x
  2. Step 2: Convert to fraction form
    600.54/826.77 = 569.76/x
  3. Step 3: Cross multiply
    600.54x = 826.77 × 569.76
  4. Step 4: Simplify right side
    600.54x = 471,060.48
  5. Step 5: Solve for x
    x = 471,060.48/600.54
  6. Step 6: Final answer
    x = 784.39

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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.