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Finding the Fourth Proportional to 1,118.63, 1,677.95 and 349.13

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Solution

The fourth proportional to 1,118.63, 1,677.95 and 349.13 is: 523.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.63 : 1,677.95 = 349.13 : x
  2. Step 2: Convert to fraction form
    1,118.63/1,677.95 = 349.13/x
  3. Step 3: Cross multiply
    1,118.63x = 1,677.95 × 349.13
  4. Step 4: Simplify right side
    1,118.63x = 585,812.55
  5. Step 5: Solve for x
    x = 585,812.55/1,118.63
  6. Step 6: Final answer
    x = 523.69

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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.