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Finding the Fourth Proportional to 1,022.04, 1,532.25 and 755.01

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Solution

The fourth proportional to 1,022.04, 1,532.25 and 755.01 is: 1,131.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.04 : 1,532.25 = 755.01 : x
  2. Step 2: Convert to fraction form
    1,022.04/1,532.25 = 755.01/x
  3. Step 3: Cross multiply
    1,022.04x = 1,532.25 × 755.01
  4. Step 4: Simplify right side
    1,022.04x = 1,156,864.07
  5. Step 5: Solve for x
    x = 1,156,864.07/1,022.04
  6. Step 6: Final answer
    x = 1,131.92

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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.