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Finding the Fourth Proportional to 1,410.91, 2,117.17 and 761.63

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Solution

The fourth proportional to 1,410.91, 2,117.17 and 761.63 is: 1,142.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.91 : 2,117.17 = 761.63 : x
  2. Step 2: Convert to fraction form
    1,410.91/2,117.17 = 761.63/x
  3. Step 3: Cross multiply
    1,410.91x = 2,117.17 × 761.63
  4. Step 4: Simplify right side
    1,410.91x = 1,612,496.38
  5. Step 5: Solve for x
    x = 1,612,496.38/1,410.91
  6. Step 6: Final answer
    x = 1,142.88

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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.