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Finding the Fourth Proportional to 1,461.07, 2,191.62 and 487.17

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Solution

The fourth proportional to 1,461.07, 2,191.62 and 487.17 is: 730.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.07 : 2,191.62 = 487.17 : x
  2. Step 2: Convert to fraction form
    1,461.07/2,191.62 = 487.17/x
  3. Step 3: Cross multiply
    1,461.07x = 2,191.62 × 487.17
  4. Step 4: Simplify right side
    1,461.07x = 1,067,688.17
  5. Step 5: Solve for x
    x = 1,067,688.17/1,461.07
  6. Step 6: Final answer
    x = 730.76

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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.