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Finding the Fourth Proportional to 1,017.92, 1,525.66 and 524.57

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Solution

The fourth proportional to 1,017.92, 1,525.66 and 524.57 is: 786.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.92 : 1,525.66 = 524.57 : x
  2. Step 2: Convert to fraction form
    1,017.92/1,525.66 = 524.57/x
  3. Step 3: Cross multiply
    1,017.92x = 1,525.66 × 524.57
  4. Step 4: Simplify right side
    1,017.92x = 800,308.49
  5. Step 5: Solve for x
    x = 800,308.49/1,017.92
  6. Step 6: Final answer
    x = 786.22

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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.