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Finding the Fourth Proportional to 1,159.93, 1,600.77 and 662.59

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Solution

The fourth proportional to 1,159.93, 1,600.77 and 662.59 is: 914.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.93 : 1,600.77 = 662.59 : x
  2. Step 2: Convert to fraction form
    1,159.93/1,600.77 = 662.59/x
  3. Step 3: Cross multiply
    1,159.93x = 1,600.77 × 662.59
  4. Step 4: Simplify right side
    1,159.93x = 1,060,654.19
  5. Step 5: Solve for x
    x = 1,060,654.19/1,159.93
  6. Step 6: Final answer
    x = 914.41

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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.