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Finding the Fourth Proportional to 1,057.23, 1,458.68 and 637.49

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Solution

The fourth proportional to 1,057.23, 1,458.68 and 637.49 is: 879.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.23 : 1,458.68 = 637.49 : x
  2. Step 2: Convert to fraction form
    1,057.23/1,458.68 = 637.49/x
  3. Step 3: Cross multiply
    1,057.23x = 1,458.68 × 637.49
  4. Step 4: Simplify right side
    1,057.23x = 929,899.15
  5. Step 5: Solve for x
    x = 929,899.15/1,057.23
  6. Step 6: Final answer
    x = 879.56

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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.