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Finding the Fourth Proportional to 1,157.91, 1,736.87 and 508.65

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Solution

The fourth proportional to 1,157.91, 1,736.87 and 508.65 is: 762.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.91 : 1,736.87 = 508.65 : x
  2. Step 2: Convert to fraction form
    1,157.91/1,736.87 = 508.65/x
  3. Step 3: Cross multiply
    1,157.91x = 1,736.87 × 508.65
  4. Step 4: Simplify right side
    1,157.91x = 883,456.38
  5. Step 5: Solve for x
    x = 883,456.38/1,157.91
  6. Step 6: Final answer
    x = 762.98

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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.