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Finding the Fourth Proportional to 1,126.20, 1,554.09 and 628.86

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Solution

The fourth proportional to 1,126.20, 1,554.09 and 628.86 is: 867.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.20 : 1,554.09 = 628.86 : x
  2. Step 2: Convert to fraction form
    1,126.20/1,554.09 = 628.86/x
  3. Step 3: Cross multiply
    1,126.20x = 1,554.09 × 628.86
  4. Step 4: Simplify right side
    1,126.20x = 977,308.51
  5. Step 5: Solve for x
    x = 977,308.51/1,126.20
  6. Step 6: Final answer
    x = 867.79

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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.