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Finding the Fourth Proportional to 1,347.25, 2,021.95 and 698.17

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Solution

The fourth proportional to 1,347.25, 2,021.95 and 698.17 is: 1,047.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.25 : 2,021.95 = 698.17 : x
  2. Step 2: Convert to fraction form
    1,347.25/2,021.95 = 698.17/x
  3. Step 3: Cross multiply
    1,347.25x = 2,021.95 × 698.17
  4. Step 4: Simplify right side
    1,347.25x = 1,411,654.72
  5. Step 5: Solve for x
    x = 1,411,654.72/1,347.25
  6. Step 6: Final answer
    x = 1,047.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.