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Finding the Fourth Proportional to 1,022.06, 1,532.02 and 473.79

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Solution

The fourth proportional to 1,022.06, 1,532.02 and 473.79 is: 710.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.06 : 1,532.02 = 473.79 : x
  2. Step 2: Convert to fraction form
    1,022.06/1,532.02 = 473.79/x
  3. Step 3: Cross multiply
    1,022.06x = 1,532.02 × 473.79
  4. Step 4: Simplify right side
    1,022.06x = 725,852.59
  5. Step 5: Solve for x
    x = 725,852.59/1,022.06
  6. Step 6: Final answer
    x = 710.19

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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.