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Finding the Fourth Proportional to 1,157.40, 1,731.82 and 693.48

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Solution

The fourth proportional to 1,157.40, 1,731.82 and 693.48 is: 1,037.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.40 : 1,731.82 = 693.48 : x
  2. Step 2: Convert to fraction form
    1,157.40/1,731.82 = 693.48/x
  3. Step 3: Cross multiply
    1,157.40x = 1,731.82 × 693.48
  4. Step 4: Simplify right side
    1,157.40x = 1,200,982.53
  5. Step 5: Solve for x
    x = 1,200,982.53/1,157.40
  6. Step 6: Final answer
    x = 1,037.66

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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.