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Finding the Fourth Proportional to 1,159.83, 1,600.84 and 662.76

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Solution

The fourth proportional to 1,159.83, 1,600.84 and 662.76 is: 914.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.83 : 1,600.84 = 662.76 : x
  2. Step 2: Convert to fraction form
    1,159.83/1,600.84 = 662.76/x
  3. Step 3: Cross multiply
    1,159.83x = 1,600.84 × 662.76
  4. Step 4: Simplify right side
    1,159.83x = 1,060,971.37
  5. Step 5: Solve for x
    x = 1,060,971.37/1,159.83
  6. Step 6: Final answer
    x = 914.76

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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.