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Finding the Fourth Proportional to 815.34, 1,223.01 and 598.26

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Solution

The fourth proportional to 815.34, 1,223.01 and 598.26 is: 897.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.34 : 1,223.01 = 598.26 : x
  2. Step 2: Convert to fraction form
    815.34/1,223.01 = 598.26/x
  3. Step 3: Cross multiply
    815.34x = 1,223.01 × 598.26
  4. Step 4: Simplify right side
    815.34x = 731,677.96
  5. Step 5: Solve for x
    x = 731,677.96/815.34
  6. Step 6: Final answer
    x = 897.39

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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.