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Finding the Fourth Proportional to 699.72, 1,047.46 and 455.76

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Solution

The fourth proportional to 699.72, 1,047.46 and 455.76 is: 682.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.72 : 1,047.46 = 455.76 : x
  2. Step 2: Convert to fraction form
    699.72/1,047.46 = 455.76/x
  3. Step 3: Cross multiply
    699.72x = 1,047.46 × 455.76
  4. Step 4: Simplify right side
    699.72x = 477,390.37
  5. Step 5: Solve for x
    x = 477,390.37/699.72
  6. Step 6: Final answer
    x = 682.26

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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.