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Finding the Fourth Proportional to 599.16, 824.94 and 566.76

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Solution

The fourth proportional to 599.16, 824.94 and 566.76 is: 780.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.16 : 824.94 = 566.76 : x
  2. Step 2: Convert to fraction form
    599.16/824.94 = 566.76/x
  3. Step 3: Cross multiply
    599.16x = 824.94 × 566.76
  4. Step 4: Simplify right side
    599.16x = 467,542.99
  5. Step 5: Solve for x
    x = 467,542.99/599.16
  6. Step 6: Final answer
    x = 780.33

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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.