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Finding the Fourth Proportional to 1,081.57, 1,622.64 and 534.01

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Solution

The fourth proportional to 1,081.57, 1,622.64 and 534.01 is: 801.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.57 : 1,622.64 = 534.01 : x
  2. Step 2: Convert to fraction form
    1,081.57/1,622.64 = 534.01/x
  3. Step 3: Cross multiply
    1,081.57x = 1,622.64 × 534.01
  4. Step 4: Simplify right side
    1,081.57x = 866,505.99
  5. Step 5: Solve for x
    x = 866,505.99/1,081.57
  6. Step 6: Final answer
    x = 801.16

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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.