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Finding the Fourth Proportional to 1,156.78, 1,596.32 and 659.46

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Solution

The fourth proportional to 1,156.78, 1,596.32 and 659.46 is: 910.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.78 : 1,596.32 = 659.46 : x
  2. Step 2: Convert to fraction form
    1,156.78/1,596.32 = 659.46/x
  3. Step 3: Cross multiply
    1,156.78x = 1,596.32 × 659.46
  4. Step 4: Simplify right side
    1,156.78x = 1,052,709.08
  5. Step 5: Solve for x
    x = 1,052,709.08/1,156.78
  6. Step 6: Final answer
    x = 910.03

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