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Finding the Fourth Proportional to 1,219.76, 1,683.32 and 688.75

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Solution

The fourth proportional to 1,219.76, 1,683.32 and 688.75 is: 950.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.76 : 1,683.32 = 688.75 : x
  2. Step 2: Convert to fraction form
    1,219.76/1,683.32 = 688.75/x
  3. Step 3: Cross multiply
    1,219.76x = 1,683.32 × 688.75
  4. Step 4: Simplify right side
    1,219.76x = 1,159,388.47
  5. Step 5: Solve for x
    x = 1,159,388.47/1,219.76
  6. Step 6: Final answer
    x = 950.51

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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.