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Finding the Fourth Proportional to 1,017.45, 1,404.31 and 662.75

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Solution

The fourth proportional to 1,017.45, 1,404.31 and 662.75 is: 914.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.45 : 1,404.31 = 662.75 : x
  2. Step 2: Convert to fraction form
    1,017.45/1,404.31 = 662.75/x
  3. Step 3: Cross multiply
    1,017.45x = 1,404.31 × 662.75
  4. Step 4: Simplify right side
    1,017.45x = 930,706.45
  5. Step 5: Solve for x
    x = 930,706.45/1,017.45
  6. Step 6: Final answer
    x = 914.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.