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Finding the Fourth Proportional to 1,630.00, 2,443.26 and 534.07

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Solution

The fourth proportional to 1,630.00, 2,443.26 and 534.07 is: 800.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.00 : 2,443.26 = 534.07 : x
  2. Step 2: Convert to fraction form
    1,630.00/2,443.26 = 534.07/x
  3. Step 3: Cross multiply
    1,630.00x = 2,443.26 × 534.07
  4. Step 4: Simplify right side
    1,630.00x = 1,304,859.65
  5. Step 5: Solve for x
    x = 1,304,859.65/1,630.00
  6. Step 6: Final answer
    x = 800.53

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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.