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Finding the Fourth Proportional to 1,057.14, 1,458.56 and 684.34

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Solution

The fourth proportional to 1,057.14, 1,458.56 and 684.34 is: 944.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.14 : 1,458.56 = 684.34 : x
  2. Step 2: Convert to fraction form
    1,057.14/1,458.56 = 684.34/x
  3. Step 3: Cross multiply
    1,057.14x = 1,458.56 × 684.34
  4. Step 4: Simplify right side
    1,057.14x = 998,150.95
  5. Step 5: Solve for x
    x = 998,150.95/1,057.14
  6. Step 6: Final answer
    x = 944.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.