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Finding the Fourth Proportional to 1,017.29, 1,524.78 and 400.74

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Solution

The fourth proportional to 1,017.29, 1,524.78 and 400.74 is: 600.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.29 : 1,524.78 = 400.74 : x
  2. Step 2: Convert to fraction form
    1,017.29/1,524.78 = 400.74/x
  3. Step 3: Cross multiply
    1,017.29x = 1,524.78 × 400.74
  4. Step 4: Simplify right side
    1,017.29x = 611,040.34
  5. Step 5: Solve for x
    x = 611,040.34/1,017.29
  6. Step 6: Final answer
    x = 600.66

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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.