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Finding the Fourth Proportional to 1,118.68, 1,678.14 and 469.48

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Solution

The fourth proportional to 1,118.68, 1,678.14 and 469.48 is: 704.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,118.68 : 1,678.14 = 469.48 : x
  2. Step 2: Convert to fraction form
    1,118.68/1,678.14 = 469.48/x
  3. Step 3: Cross multiply
    1,118.68x = 1,678.14 × 469.48
  4. Step 4: Simplify right side
    1,118.68x = 787,853.17
  5. Step 5: Solve for x
    x = 787,853.17/1,118.68
  6. Step 6: Final answer
    x = 704.27

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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.