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Finding the Fourth Proportional to 815.87, 1,126.39 and 536.60

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Solution

The fourth proportional to 815.87, 1,126.39 and 536.60 is: 740.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.87 : 1,126.39 = 536.60 : x
  2. Step 2: Convert to fraction form
    815.87/1,126.39 = 536.60/x
  3. Step 3: Cross multiply
    815.87x = 1,126.39 × 536.60
  4. Step 4: Simplify right side
    815.87x = 604,422.35
  5. Step 5: Solve for x
    x = 604,422.35/815.87
  6. Step 6: Final answer
    x = 740.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.