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Finding the Fourth Proportional to 1,120.00, 1,678.43 and 425.92

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Solution

The fourth proportional to 1,120.00, 1,678.43 and 425.92 is: 638.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.00 : 1,678.43 = 425.92 : x
  2. Step 2: Convert to fraction form
    1,120.00/1,678.43 = 425.92/x
  3. Step 3: Cross multiply
    1,120.00x = 1,678.43 × 425.92
  4. Step 4: Simplify right side
    1,120.00x = 714,866.38
  5. Step 5: Solve for x
    x = 714,866.38/1,120.00
  6. Step 6: Final answer
    x = 638.28

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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.