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Finding the Fourth Proportional to 787.92, 1,174.05 and 701.76

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Solution

The fourth proportional to 787.92, 1,174.05 and 701.76 is: 1,045.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.92 : 1,174.05 = 701.76 : x
  2. Step 2: Convert to fraction form
    787.92/1,174.05 = 701.76/x
  3. Step 3: Cross multiply
    787.92x = 1,174.05 × 701.76
  4. Step 4: Simplify right side
    787.92x = 823,901.33
  5. Step 5: Solve for x
    x = 823,901.33/787.92
  6. Step 6: Final answer
    x = 1,045.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.