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Finding the Fourth Proportional to 1,120.08, 1,678.96 and 389.24

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Solution

The fourth proportional to 1,120.08, 1,678.96 and 389.24 is: 583.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.08 : 1,678.96 = 389.24 : x
  2. Step 2: Convert to fraction form
    1,120.08/1,678.96 = 389.24/x
  3. Step 3: Cross multiply
    1,120.08x = 1,678.96 × 389.24
  4. Step 4: Simplify right side
    1,120.08x = 653,518.39
  5. Step 5: Solve for x
    x = 653,518.39/1,120.08
  6. Step 6: Final answer
    x = 583.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.