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Finding the Fourth Proportional to 695.56, 1,044.51 and 465.92

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Solution

The fourth proportional to 695.56, 1,044.51 and 465.92 is: 699.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.56 : 1,044.51 = 465.92 : x
  2. Step 2: Convert to fraction form
    695.56/1,044.51 = 465.92/x
  3. Step 3: Cross multiply
    695.56x = 1,044.51 × 465.92
  4. Step 4: Simplify right side
    695.56x = 486,655.77
  5. Step 5: Solve for x
    x = 486,655.77/695.56
  6. Step 6: Final answer
    x = 699.67

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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.