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Finding the Fourth Proportional to 1,033.90, 1,426.29 and 753.70

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Solution

The fourth proportional to 1,033.90, 1,426.29 and 753.70 is: 1,039.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.90 : 1,426.29 = 753.70 : x
  2. Step 2: Convert to fraction form
    1,033.90/1,426.29 = 753.70/x
  3. Step 3: Cross multiply
    1,033.90x = 1,426.29 × 753.70
  4. Step 4: Simplify right side
    1,033.90x = 1,074,994.77
  5. Step 5: Solve for x
    x = 1,074,994.77/1,033.90
  6. Step 6: Final answer
    x = 1,039.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.