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Finding the Fourth Proportional to 1,108.82, 1,529.76 and 689.52

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Solution

The fourth proportional to 1,108.82, 1,529.76 and 689.52 is: 951.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.82 : 1,529.76 = 689.52 : x
  2. Step 2: Convert to fraction form
    1,108.82/1,529.76 = 689.52/x
  3. Step 3: Cross multiply
    1,108.82x = 1,529.76 × 689.52
  4. Step 4: Simplify right side
    1,108.82x = 1,054,800.12
  5. Step 5: Solve for x
    x = 1,054,800.12/1,108.82
  6. Step 6: Final answer
    x = 951.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.