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Finding the Fourth Proportional to 1,156.50, 1,733.34 and 693.96

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Solution

The fourth proportional to 1,156.50, 1,733.34 and 693.96 is: 1,040.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.50 : 1,733.34 = 693.96 : x
  2. Step 2: Convert to fraction form
    1,156.50/1,733.34 = 693.96/x
  3. Step 3: Cross multiply
    1,156.50x = 1,733.34 × 693.96
  4. Step 4: Simplify right side
    1,156.50x = 1,202,868.63
  5. Step 5: Solve for x
    x = 1,202,868.63/1,156.50
  6. Step 6: Final answer
    x = 1,040.09

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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.