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Finding the Fourth Proportional to 1,356.09, 2,034.50 and 534.17

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Solution

The fourth proportional to 1,356.09, 2,034.50 and 534.17 is: 801.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,356.09 : 2,034.50 = 534.17 : x
  2. Step 2: Convert to fraction form
    1,356.09/2,034.50 = 534.17/x
  3. Step 3: Cross multiply
    1,356.09x = 2,034.50 × 534.17
  4. Step 4: Simplify right side
    1,356.09x = 1,086,756.02
  5. Step 5: Solve for x
    x = 1,086,756.02/1,356.09
  6. Step 6: Final answer
    x = 801.39

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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.