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Finding the Fourth Proportional to 1,108.29, 1,528.80 and 693.57

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Solution

The fourth proportional to 1,108.29, 1,528.80 and 693.57 is: 956.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.29 : 1,528.80 = 693.57 : x
  2. Step 2: Convert to fraction form
    1,108.29/1,528.80 = 693.57/x
  3. Step 3: Cross multiply
    1,108.29x = 1,528.80 × 693.57
  4. Step 4: Simplify right side
    1,108.29x = 1,060,329.82
  5. Step 5: Solve for x
    x = 1,060,329.82/1,108.29
  6. Step 6: Final answer
    x = 956.73

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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.