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Finding the Fourth Proportional to 1,157.96, 1,736.94 and 292.24

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Solution

The fourth proportional to 1,157.96, 1,736.94 and 292.24 is: 438.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.96 : 1,736.94 = 292.24 : x
  2. Step 2: Convert to fraction form
    1,157.96/1,736.94 = 292.24/x
  3. Step 3: Cross multiply
    1,157.96x = 1,736.94 × 292.24
  4. Step 4: Simplify right side
    1,157.96x = 507,603.35
  5. Step 5: Solve for x
    x = 507,603.35/1,157.96
  6. Step 6: Final answer
    x = 438.36

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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.