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Finding the Fourth Proportional to 1,347.25, 2,020.88 and 360.07

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Solution

The fourth proportional to 1,347.25, 2,020.88 and 360.07 is: 540.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.25 : 2,020.88 = 360.07 : x
  2. Step 2: Convert to fraction form
    1,347.25/2,020.88 = 360.07/x
  3. Step 3: Cross multiply
    1,347.25x = 2,020.88 × 360.07
  4. Step 4: Simplify right side
    1,347.25x = 727,658.26
  5. Step 5: Solve for x
    x = 727,658.26/1,347.25
  6. Step 6: Final answer
    x = 540.11

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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.