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Finding the Fourth Proportional to 1,157.33, 1,734.82 and 416.72

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Solution

The fourth proportional to 1,157.33, 1,734.82 and 416.72 is: 624.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.33 : 1,734.82 = 416.72 : x
  2. Step 2: Convert to fraction form
    1,157.33/1,734.82 = 416.72/x
  3. Step 3: Cross multiply
    1,157.33x = 1,734.82 × 416.72
  4. Step 4: Simplify right side
    1,157.33x = 722,934.19
  5. Step 5: Solve for x
    x = 722,934.19/1,157.33
  6. Step 6: Final answer
    x = 624.66

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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.