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Finding the Fourth Proportional to 1,159.83, 1,600.87 and 662.64

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Solution

The fourth proportional to 1,159.83, 1,600.87 and 662.64 is: 914.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.83 : 1,600.87 = 662.64 : x
  2. Step 2: Convert to fraction form
    1,159.83/1,600.87 = 662.64/x
  3. Step 3: Cross multiply
    1,159.83x = 1,600.87 × 662.64
  4. Step 4: Simplify right side
    1,159.83x = 1,060,798.84
  5. Step 5: Solve for x
    x = 1,060,798.84/1,159.83
  6. Step 6: Final answer
    x = 914.62

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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.