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Finding the Fourth Proportional to 1,156.80, 1,733.76 and 579.52

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Solution

The fourth proportional to 1,156.80, 1,733.76 and 579.52 is: 868.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.80 : 1,733.76 = 579.52 : x
  2. Step 2: Convert to fraction form
    1,156.80/1,733.76 = 579.52/x
  3. Step 3: Cross multiply
    1,156.80x = 1,733.76 × 579.52
  4. Step 4: Simplify right side
    1,156.80x = 1,004,748.60
  5. Step 5: Solve for x
    x = 1,004,748.60/1,156.80
  6. Step 6: Final answer
    x = 868.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.