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Finding the Fourth Proportional to 599.55, 897.61 and 540.77

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Solution

The fourth proportional to 599.55, 897.61 and 540.77 is: 809.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.55 : 897.61 = 540.77 : x
  2. Step 2: Convert to fraction form
    599.55/897.61 = 540.77/x
  3. Step 3: Cross multiply
    599.55x = 897.61 × 540.77
  4. Step 4: Simplify right side
    599.55x = 485,400.34
  5. Step 5: Solve for x
    x = 485,400.34/599.55
  6. Step 6: Final answer
    x = 809.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.