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Finding the Fourth Proportional to 1,021.04, 1,527.78 and 610.46

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Solution

The fourth proportional to 1,021.04, 1,527.78 and 610.46 is: 913.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.04 : 1,527.78 = 610.46 : x
  2. Step 2: Convert to fraction form
    1,021.04/1,527.78 = 610.46/x
  3. Step 3: Cross multiply
    1,021.04x = 1,527.78 × 610.46
  4. Step 4: Simplify right side
    1,021.04x = 932,648.58
  5. Step 5: Solve for x
    x = 932,648.58/1,021.04
  6. Step 6: Final answer
    x = 913.43

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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.