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Finding the Fourth Proportional to 601, 896.85 and 536.20

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Solution

The fourth proportional to 601, 896.85 and 536.20 is: 800.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    601 : 896.85 = 536.20 : x
  2. Step 2: Convert to fraction form
    601/896.85 = 536.20/x
  3. Step 3: Cross multiply
    601x = 896.85 × 536.20
  4. Step 4: Simplify right side
    601x = 480,890.97
  5. Step 5: Solve for x
    x = 480,890.97/601
  6. Step 6: Final answer
    x = 800.15

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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.