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Finding the Fourth Proportional to 1,157.57, 1,733.24 and 882.35

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Solution

The fourth proportional to 1,157.57, 1,733.24 and 882.35 is: 1,321.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.57 : 1,733.24 = 882.35 : x
  2. Step 2: Convert to fraction form
    1,157.57/1,733.24 = 882.35/x
  3. Step 3: Cross multiply
    1,157.57x = 1,733.24 × 882.35
  4. Step 4: Simplify right side
    1,157.57x = 1,529,311.24
  5. Step 5: Solve for x
    x = 1,529,311.24/1,157.57
  6. Step 6: Final answer
    x = 1,321.15

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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.