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Finding the Fourth Proportional to 802.77, 1,204.08 and 282.66

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Solution

The fourth proportional to 802.77, 1,204.08 and 282.66 is: 423.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.77 : 1,204.08 = 282.66 : x
  2. Step 2: Convert to fraction form
    802.77/1,204.08 = 282.66/x
  3. Step 3: Cross multiply
    802.77x = 1,204.08 × 282.66
  4. Step 4: Simplify right side
    802.77x = 340,345.25
  5. Step 5: Solve for x
    x = 340,345.25/802.77
  6. Step 6: Final answer
    x = 423.96

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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.