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Finding the Fourth Proportional to 1,159.83, 1,599.75 and 739.74

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Solution

The fourth proportional to 1,159.83, 1,599.75 and 739.74 is: 1,020.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.83 : 1,599.75 = 739.74 : x
  2. Step 2: Convert to fraction form
    1,159.83/1,599.75 = 739.74/x
  3. Step 3: Cross multiply
    1,159.83x = 1,599.75 × 739.74
  4. Step 4: Simplify right side
    1,159.83x = 1,183,399.07
  5. Step 5: Solve for x
    x = 1,183,399.07/1,159.83
  6. Step 6: Final answer
    x = 1,020.32

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Why These Related Problems?

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