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Finding the Fourth Proportional to 815.91, 1,223.06 and 522.58

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Solution

The fourth proportional to 815.91, 1,223.06 and 522.58 is: 783.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.91 : 1,223.06 = 522.58 : x
  2. Step 2: Convert to fraction form
    815.91/1,223.06 = 522.58/x
  3. Step 3: Cross multiply
    815.91x = 1,223.06 × 522.58
  4. Step 4: Simplify right side
    815.91x = 639,143.64
  5. Step 5: Solve for x
    x = 639,143.64/815.91
  6. Step 6: Final answer
    x = 783.35

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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.