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Finding the Fourth Proportional to 1,118.34, 1,677.33 and 348.84

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Solution

The fourth proportional to 1,118.34, 1,677.33 and 348.84 is: 523.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.34 : 1,677.33 = 348.84 : x
  2. Step 2: Convert to fraction form
    1,118.34/1,677.33 = 348.84/x
  3. Step 3: Cross multiply
    1,118.34x = 1,677.33 × 348.84
  4. Step 4: Simplify right side
    1,118.34x = 585,119.80
  5. Step 5: Solve for x
    x = 585,119.80/1,118.34
  6. Step 6: Final answer
    x = 523.20

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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.