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Finding the Fourth Proportional to 534.52, 802.62 and 506.84

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Solution

The fourth proportional to 534.52, 802.62 and 506.84 is: 761.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.52 : 802.62 = 506.84 : x
  2. Step 2: Convert to fraction form
    534.52/802.62 = 506.84/x
  3. Step 3: Cross multiply
    534.52x = 802.62 × 506.84
  4. Step 4: Simplify right side
    534.52x = 406,799.92
  5. Step 5: Solve for x
    x = 406,799.92/534.52
  6. Step 6: Final answer
    x = 761.06

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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.