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Finding the Fourth Proportional to 1,033.65, 1,426.48 and 591.66

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Solution

The fourth proportional to 1,033.65, 1,426.48 and 591.66 is: 816.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.65 : 1,426.48 = 591.66 : x
  2. Step 2: Convert to fraction form
    1,033.65/1,426.48 = 591.66/x
  3. Step 3: Cross multiply
    1,033.65x = 1,426.48 × 591.66
  4. Step 4: Simplify right side
    1,033.65x = 843,989.68
  5. Step 5: Solve for x
    x = 843,989.68/1,033.65
  6. Step 6: Final answer
    x = 816.51

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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.