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Finding the Fourth Proportional to 1,057.07, 1,458.78 and 637.86

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Solution

The fourth proportional to 1,057.07, 1,458.78 and 637.86 is: 880.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057.07 : 1,458.78 = 637.86 : x
  2. Step 2: Convert to fraction form
    1,057.07/1,458.78 = 637.86/x
  3. Step 3: Cross multiply
    1,057.07x = 1,458.78 × 637.86
  4. Step 4: Simplify right side
    1,057.07x = 930,500.49
  5. Step 5: Solve for x
    x = 930,500.49/1,057.07
  6. Step 6: Final answer
    x = 880.26

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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.