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Finding the Fourth Proportional to 815.14, 1,222.84 and 802.00

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Solution

The fourth proportional to 815.14, 1,222.84 and 802.00 is: 1,203.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.14 : 1,222.84 = 802.00 : x
  2. Step 2: Convert to fraction form
    815.14/1,222.84 = 802.00/x
  3. Step 3: Cross multiply
    815.14x = 1,222.84 × 802.00
  4. Step 4: Simplify right side
    815.14x = 980,711.57
  5. Step 5: Solve for x
    x = 980,711.57/815.14
  6. Step 6: Final answer
    x = 1,203.13

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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.