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Finding the Fourth Proportional to 824.34, 1,235.46 and 802.81

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Solution

The fourth proportional to 824.34, 1,235.46 and 802.81 is: 1,203.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.34 : 1,235.46 = 802.81 : x
  2. Step 2: Convert to fraction form
    824.34/1,235.46 = 802.81/x
  3. Step 3: Cross multiply
    824.34x = 1,235.46 × 802.81
  4. Step 4: Simplify right side
    824.34x = 991,833.47
  5. Step 5: Solve for x
    x = 991,833.47/824.34
  6. Step 6: Final answer
    x = 1,203.18

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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.