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Finding the Fourth Proportional to 1,033.56, 1,550.43 and 340.02

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Solution

The fourth proportional to 1,033.56, 1,550.43 and 340.02 is: 510.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.56 : 1,550.43 = 340.02 : x
  2. Step 2: Convert to fraction form
    1,033.56/1,550.43 = 340.02/x
  3. Step 3: Cross multiply
    1,033.56x = 1,550.43 × 340.02
  4. Step 4: Simplify right side
    1,033.56x = 527,177.21
  5. Step 5: Solve for x
    x = 527,177.21/1,033.56
  6. Step 6: Final answer
    x = 510.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.