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Finding the Fourth Proportional to 1,157.92, 1,595.60 and 825.40

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Solution

The fourth proportional to 1,157.92, 1,595.60 and 825.40 is: 1,137.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.92 : 1,595.60 = 825.40 : x
  2. Step 2: Convert to fraction form
    1,157.92/1,595.60 = 825.40/x
  3. Step 3: Cross multiply
    1,157.92x = 1,595.60 × 825.40
  4. Step 4: Simplify right side
    1,157.92x = 1,317,008.24
  5. Step 5: Solve for x
    x = 1,317,008.24/1,157.92
  6. Step 6: Final answer
    x = 1,137.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.