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Finding the Fourth Proportional to 597.15, 891.03 and 538.83

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Solution

The fourth proportional to 597.15, 891.03 and 538.83 is: 804.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.15 : 891.03 = 538.83 : x
  2. Step 2: Convert to fraction form
    597.15/891.03 = 538.83/x
  3. Step 3: Cross multiply
    597.15x = 891.03 × 538.83
  4. Step 4: Simplify right side
    597.15x = 480,113.69
  5. Step 5: Solve for x
    x = 480,113.69/597.15
  6. Step 6: Final answer
    x = 804.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.