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Finding the Fourth Proportional to 1,461.45, 2,191.77 and 487.42

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Solution

The fourth proportional to 1,461.45, 2,191.77 and 487.42 is: 730.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.45 : 2,191.77 = 487.42 : x
  2. Step 2: Convert to fraction form
    1,461.45/2,191.77 = 487.42/x
  3. Step 3: Cross multiply
    1,461.45x = 2,191.77 × 487.42
  4. Step 4: Simplify right side
    1,461.45x = 1,068,312.53
  5. Step 5: Solve for x
    x = 1,068,312.53/1,461.45
  6. Step 6: Final answer
    x = 730.99

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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.