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Finding the Fourth Proportional to 1,057.24, 1,458.54 and 637.48

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Solution

The fourth proportional to 1,057.24, 1,458.54 and 637.48 is: 879.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.24 : 1,458.54 = 637.48 : x
  2. Step 2: Convert to fraction form
    1,057.24/1,458.54 = 637.48/x
  3. Step 3: Cross multiply
    1,057.24x = 1,458.54 × 637.48
  4. Step 4: Simplify right side
    1,057.24x = 929,790.08
  5. Step 5: Solve for x
    x = 929,790.08/1,057.24
  6. Step 6: Final answer
    x = 879.45

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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.