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Finding the Fourth Proportional to 743.74, 1,025.34 and 507.34

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Solution

The fourth proportional to 743.74, 1,025.34 and 507.34 is: 699.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.74 : 1,025.34 = 507.34 : x
  2. Step 2: Convert to fraction form
    743.74/1,025.34 = 507.34/x
  3. Step 3: Cross multiply
    743.74x = 1,025.34 × 507.34
  4. Step 4: Simplify right side
    743.74x = 520,196.00
  5. Step 5: Solve for x
    x = 520,196.00/743.74
  6. Step 6: Final answer
    x = 699.43

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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.