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Finding the Fourth Proportional to 1,033.37, 1,426.07 and 585.26

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Solution

The fourth proportional to 1,033.37, 1,426.07 and 585.26 is: 807.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.37 : 1,426.07 = 585.26 : x
  2. Step 2: Convert to fraction form
    1,033.37/1,426.07 = 585.26/x
  3. Step 3: Cross multiply
    1,033.37x = 1,426.07 × 585.26
  4. Step 4: Simplify right side
    1,033.37x = 834,621.73
  5. Step 5: Solve for x
    x = 834,621.73/1,033.37
  6. Step 6: Final answer
    x = 807.67

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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.