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Finding the Fourth Proportional to 1,404.96, 2,107.56 and 480.24

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Solution

The fourth proportional to 1,404.96, 2,107.56 and 480.24 is: 720.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.96 : 2,107.56 = 480.24 : x
  2. Step 2: Convert to fraction form
    1,404.96/2,107.56 = 480.24/x
  3. Step 3: Cross multiply
    1,404.96x = 2,107.56 × 480.24
  4. Step 4: Simplify right side
    1,404.96x = 1,012,134.61
  5. Step 5: Solve for x
    x = 1,012,134.61/1,404.96
  6. Step 6: Final answer
    x = 720.40

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1.5x scale

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.