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Finding the Fourth Proportional to 1,033.83, 1,426.78 and 591.64

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Solution

The fourth proportional to 1,033.83, 1,426.78 and 591.64 is: 816.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.83 : 1,426.78 = 591.64 : x
  2. Step 2: Convert to fraction form
    1,033.83/1,426.78 = 591.64/x
  3. Step 3: Cross multiply
    1,033.83x = 1,426.78 × 591.64
  4. Step 4: Simplify right side
    1,033.83x = 844,140.12
  5. Step 5: Solve for x
    x = 844,140.12/1,033.83
  6. Step 6: Final answer
    x = 816.52

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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.