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Finding the Fourth Proportional to 1,157.87, 1,734.64 and 900.83

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Solution

The fourth proportional to 1,157.87, 1,734.64 and 900.83 is: 1,349.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.87 : 1,734.64 = 900.83 : x
  2. Step 2: Convert to fraction form
    1,157.87/1,734.64 = 900.83/x
  3. Step 3: Cross multiply
    1,157.87x = 1,734.64 × 900.83
  4. Step 4: Simplify right side
    1,157.87x = 1,562,615.75
  5. Step 5: Solve for x
    x = 1,562,615.75/1,157.87
  6. Step 6: Final answer
    x = 1,349.56

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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.