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Finding the Fourth Proportional to 1,441.08, 2,160.86 and 467.06

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Solution

The fourth proportional to 1,441.08, 2,160.86 and 467.06 is: 700.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.08 : 2,160.86 = 467.06 : x
  2. Step 2: Convert to fraction form
    1,441.08/2,160.86 = 467.06/x
  3. Step 3: Cross multiply
    1,441.08x = 2,160.86 × 467.06
  4. Step 4: Simplify right side
    1,441.08x = 1,009,251.27
  5. Step 5: Solve for x
    x = 1,009,251.27/1,441.08
  6. Step 6: Final answer
    x = 700.34

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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.