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Finding the Fourth Proportional to 1,417.73, 2,126.69 and 493.17

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Solution

The fourth proportional to 1,417.73, 2,126.69 and 493.17 is: 739.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,417.73 : 2,126.69 = 493.17 : x
  2. Step 2: Convert to fraction form
    1,417.73/2,126.69 = 493.17/x
  3. Step 3: Cross multiply
    1,417.73x = 2,126.69 × 493.17
  4. Step 4: Simplify right side
    1,417.73x = 1,048,811.12
  5. Step 5: Solve for x
    x = 1,048,811.12/1,417.73
  6. Step 6: Final answer
    x = 739.78

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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.