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Finding the Fourth Proportional to 802.61, 1,203.82 and 282.47

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Solution

The fourth proportional to 802.61, 1,203.82 and 282.47 is: 423.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.61 : 1,203.82 = 282.47 : x
  2. Step 2: Convert to fraction form
    802.61/1,203.82 = 282.47/x
  3. Step 3: Cross multiply
    802.61x = 1,203.82 × 282.47
  4. Step 4: Simplify right side
    802.61x = 340,040.73
  5. Step 5: Solve for x
    x = 340,040.73/802.61
  6. Step 6: Final answer
    x = 423.67

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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.