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Finding the Fourth Proportional to 1,118.28, 1,677.36 and 348.76

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Solution

The fourth proportional to 1,118.28, 1,677.36 and 348.76 is: 523.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.28 : 1,677.36 = 348.76 : x
  2. Step 2: Convert to fraction form
    1,118.28/1,677.36 = 348.76/x
  3. Step 3: Cross multiply
    1,118.28x = 1,677.36 × 348.76
  4. Step 4: Simplify right side
    1,118.28x = 584,996.07
  5. Step 5: Solve for x
    x = 584,996.07/1,118.28
  6. Step 6: Final answer
    x = 523.12

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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.