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Finding the Fourth Proportional to 680.13, 1,018.56 and 463.05

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Solution

The fourth proportional to 680.13, 1,018.56 and 463.05 is: 693.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.13 : 1,018.56 = 463.05 : x
  2. Step 2: Convert to fraction form
    680.13/1,018.56 = 463.05/x
  3. Step 3: Cross multiply
    680.13x = 1,018.56 × 463.05
  4. Step 4: Simplify right side
    680.13x = 471,644.21
  5. Step 5: Solve for x
    x = 471,644.21/680.13
  6. Step 6: Final answer
    x = 693.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.