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Finding the Fourth Proportional to 810.34, 1,216.28 and 536.61

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Solution

The fourth proportional to 810.34, 1,216.28 and 536.61 is: 805.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.34 : 1,216.28 = 536.61 : x
  2. Step 2: Convert to fraction form
    810.34/1,216.28 = 536.61/x
  3. Step 3: Cross multiply
    810.34x = 1,216.28 × 536.61
  4. Step 4: Simplify right side
    810.34x = 652,668.01
  5. Step 5: Solve for x
    x = 652,668.01/810.34
  6. Step 6: Final answer
    x = 805.42

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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.