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Finding the Fourth Proportional to 1,404.40, 1,938.08 and 806.73

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Solution

The fourth proportional to 1,404.40, 1,938.08 and 806.73 is: 1,113.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.40 : 1,938.08 = 806.73 : x
  2. Step 2: Convert to fraction form
    1,404.40/1,938.08 = 806.73/x
  3. Step 3: Cross multiply
    1,404.40x = 1,938.08 × 806.73
  4. Step 4: Simplify right side
    1,404.40x = 1,563,503.24
  5. Step 5: Solve for x
    x = 1,563,503.24/1,404.40
  6. Step 6: Final answer
    x = 1,113.29

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1.5x scale

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.