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Finding the Fourth Proportional to 1,360.23, 1,877.25 and 836.25

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Solution

The fourth proportional to 1,360.23, 1,877.25 and 836.25 is: 1,154.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360.23 : 1,877.25 = 836.25 : x
  2. Step 2: Convert to fraction form
    1,360.23/1,877.25 = 836.25/x
  3. Step 3: Cross multiply
    1,360.23x = 1,877.25 × 836.25
  4. Step 4: Simplify right side
    1,360.23x = 1,569,850.31
  5. Step 5: Solve for x
    x = 1,569,850.31/1,360.23
  6. Step 6: Final answer
    x = 1,154.11

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