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Finding the Fourth Proportional to 1,017.96, 1,524.50 and 523.07

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Solution

The fourth proportional to 1,017.96, 1,524.50 and 523.07 is: 783.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.96 : 1,524.50 = 523.07 : x
  2. Step 2: Convert to fraction form
    1,017.96/1,524.50 = 523.07/x
  3. Step 3: Cross multiply
    1,017.96x = 1,524.50 × 523.07
  4. Step 4: Simplify right side
    1,017.96x = 797,420.22
  5. Step 5: Solve for x
    x = 797,420.22/1,017.96
  6. Step 6: Final answer
    x = 783.35

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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.