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Finding the Fourth Proportional to 1,108.35, 1,528.71 and 688.23

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Solution

The fourth proportional to 1,108.35, 1,528.71 and 688.23 is: 949.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.35 : 1,528.71 = 688.23 : x
  2. Step 2: Convert to fraction form
    1,108.35/1,528.71 = 688.23/x
  3. Step 3: Cross multiply
    1,108.35x = 1,528.71 × 688.23
  4. Step 4: Simplify right side
    1,108.35x = 1,052,104.08
  5. Step 5: Solve for x
    x = 1,052,104.08/1,108.35
  6. Step 6: Final answer
    x = 949.25

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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.