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Finding the Fourth Proportional to 1,360.17, 2,040.48 and 812.07

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Solution

The fourth proportional to 1,360.17, 2,040.48 and 812.07 is: 1,218.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.17 : 2,040.48 = 812.07 : x
  2. Step 2: Convert to fraction form
    1,360.17/2,040.48 = 812.07/x
  3. Step 3: Cross multiply
    1,360.17x = 2,040.48 × 812.07
  4. Step 4: Simplify right side
    1,360.17x = 1,657,012.59
  5. Step 5: Solve for x
    x = 1,657,012.59/1,360.17
  6. Step 6: Final answer
    x = 1,218.24

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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.