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Finding the Fourth Proportional to 1,246.82, 1,720.10 and 722.74

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Solution

The fourth proportional to 1,246.82, 1,720.10 and 722.74 is: 997.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.82 : 1,720.10 = 722.74 : x
  2. Step 2: Convert to fraction form
    1,246.82/1,720.10 = 722.74/x
  3. Step 3: Cross multiply
    1,246.82x = 1,720.10 × 722.74
  4. Step 4: Simplify right side
    1,246.82x = 1,243,185.07
  5. Step 5: Solve for x
    x = 1,243,185.07/1,246.82
  6. Step 6: Final answer
    x = 997.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.