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Finding the Fourth Proportional to 1,129.22, 1,558.26 and 657.14

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Solution

The fourth proportional to 1,129.22, 1,558.26 and 657.14 is: 906.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.22 : 1,558.26 = 657.14 : x
  2. Step 2: Convert to fraction form
    1,129.22/1,558.26 = 657.14/x
  3. Step 3: Cross multiply
    1,129.22x = 1,558.26 × 657.14
  4. Step 4: Simplify right side
    1,129.22x = 1,023,994.98
  5. Step 5: Solve for x
    x = 1,023,994.98/1,129.22
  6. Step 6: Final answer
    x = 906.82

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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.