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Finding the Fourth Proportional to 1,022.80, 1,534.44 and 475.36

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Solution

The fourth proportional to 1,022.80, 1,534.44 and 475.36 is: 713.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.80 : 1,534.44 = 475.36 : x
  2. Step 2: Convert to fraction form
    1,022.80/1,534.44 = 475.36/x
  3. Step 3: Cross multiply
    1,022.80x = 1,534.44 × 475.36
  4. Step 4: Simplify right side
    1,022.80x = 729,411.40
  5. Step 5: Solve for x
    x = 729,411.40/1,022.80
  6. Step 6: Final answer
    x = 713.15

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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.