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Finding the Fourth Proportional to 802.77, 1,204.14 and 437.73

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Solution

The fourth proportional to 802.77, 1,204.14 and 437.73 is: 656.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.77 : 1,204.14 = 437.73 : x
  2. Step 2: Convert to fraction form
    802.77/1,204.14 = 437.73/x
  3. Step 3: Cross multiply
    802.77x = 1,204.14 × 437.73
  4. Step 4: Simplify right side
    802.77x = 527,088.20
  5. Step 5: Solve for x
    x = 527,088.20/802.77
  6. Step 6: Final answer
    x = 656.59

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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.