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Finding the Fourth Proportional to 1,219.34, 1,682.40 and 688.13

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Solution

The fourth proportional to 1,219.34, 1,682.40 and 688.13 is: 949.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.34 : 1,682.40 = 688.13 : x
  2. Step 2: Convert to fraction form
    1,219.34/1,682.40 = 688.13/x
  3. Step 3: Cross multiply
    1,219.34x = 1,682.40 × 688.13
  4. Step 4: Simplify right side
    1,219.34x = 1,157,709.91
  5. Step 5: Solve for x
    x = 1,157,709.91/1,219.34
  6. Step 6: Final answer
    x = 949.46

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1.5x scale

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.