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Finding the Fourth Proportional to 1,360.09, 1,874.71 and 917.22

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Solution

The fourth proportional to 1,360.09, 1,874.71 and 917.22 is: 1,264.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.09 : 1,874.71 = 917.22 : x
  2. Step 2: Convert to fraction form
    1,360.09/1,874.71 = 917.22/x
  3. Step 3: Cross multiply
    1,360.09x = 1,874.71 × 917.22
  4. Step 4: Simplify right side
    1,360.09x = 1,719,529.68
  5. Step 5: Solve for x
    x = 1,719,529.68/1,360.09
  6. Step 6: Final answer
    x = 1,264.28

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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.