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Finding the Fourth Proportional to 815.70, 1,223.37 and 522.32

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Solution

The fourth proportional to 815.70, 1,223.37 and 522.32 is: 783.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.70 : 1,223.37 = 522.32 : x
  2. Step 2: Convert to fraction form
    815.70/1,223.37 = 522.32/x
  3. Step 3: Cross multiply
    815.70x = 1,223.37 × 522.32
  4. Step 4: Simplify right side
    815.70x = 638,990.62
  5. Step 5: Solve for x
    x = 638,990.62/815.70
  6. Step 6: Final answer
    x = 783.36

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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.