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Finding the Fourth Proportional to 1,178.17, 1,625.22 and 1,059.26

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Solution

The fourth proportional to 1,178.17, 1,625.22 and 1,059.26 is: 1,461.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178.17 : 1,625.22 = 1,059.26 : x
  2. Step 2: Convert to fraction form
    1,178.17/1,625.22 = 1,059.26/x
  3. Step 3: Cross multiply
    1,178.17x = 1,625.22 × 1,059.26
  4. Step 4: Simplify right side
    1,178.17x = 1,721,522.41
  5. Step 5: Solve for x
    x = 1,721,522.41/1,178.17
  6. Step 6: Final answer
    x = 1,461.19

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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.