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Finding the Fourth Proportional to 1,219.40, 1,682.96 and 688.50

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Solution

The fourth proportional to 1,219.40, 1,682.96 and 688.50 is: 950.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.40 : 1,682.96 = 688.50 : x
  2. Step 2: Convert to fraction form
    1,219.40/1,682.96 = 688.50/x
  3. Step 3: Cross multiply
    1,219.40x = 1,682.96 × 688.50
  4. Step 4: Simplify right side
    1,219.40x = 1,158,721.29
  5. Step 5: Solve for x
    x = 1,158,721.29/1,219.40
  6. Step 6: Final answer
    x = 950.24

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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.