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Finding the Fourth Proportional to 1,033.40, 1,426.03 and 591.30

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Solution

The fourth proportional to 1,033.40, 1,426.03 and 591.30 is: 815.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.40 : 1,426.03 = 591.30 : x
  2. Step 2: Convert to fraction form
    1,033.40/1,426.03 = 591.30/x
  3. Step 3: Cross multiply
    1,033.40x = 1,426.03 × 591.30
  4. Step 4: Simplify right side
    1,033.40x = 843,210.06
  5. Step 5: Solve for x
    x = 843,210.06/1,033.40
  6. Step 6: Final answer
    x = 815.96

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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.