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Finding the Fourth Proportional to 1,033.66, 1,426.35 and 591.58

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Solution

The fourth proportional to 1,033.66, 1,426.35 and 591.58 is: 816.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.66 : 1,426.35 = 591.58 : x
  2. Step 2: Convert to fraction form
    1,033.66/1,426.35 = 591.58/x
  3. Step 3: Cross multiply
    1,033.66x = 1,426.35 × 591.58
  4. Step 4: Simplify right side
    1,033.66x = 843,800.13
  5. Step 5: Solve for x
    x = 843,800.13/1,033.66
  6. Step 6: Final answer
    x = 816.32

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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.