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Finding the Fourth Proportional to 1,157.93, 1,737.15 and 336.28

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Solution

The fourth proportional to 1,157.93, 1,737.15 and 336.28 is: 504.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.93 : 1,737.15 = 336.28 : x
  2. Step 2: Convert to fraction form
    1,157.93/1,737.15 = 336.28/x
  3. Step 3: Cross multiply
    1,157.93x = 1,737.15 × 336.28
  4. Step 4: Simplify right side
    1,157.93x = 584,161.57
  5. Step 5: Solve for x
    x = 584,161.57/1,157.93
  6. Step 6: Final answer
    x = 504.49

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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.