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Finding the Fourth Proportional to 1,159.66, 1,600.30 and 662.30

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Solution

The fourth proportional to 1,159.66, 1,600.30 and 662.30 is: 913.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.66 : 1,600.30 = 662.30 : x
  2. Step 2: Convert to fraction form
    1,159.66/1,600.30 = 662.30/x
  3. Step 3: Cross multiply
    1,159.66x = 1,600.30 × 662.30
  4. Step 4: Simplify right side
    1,159.66x = 1,059,878.69
  5. Step 5: Solve for x
    x = 1,059,878.69/1,159.66
  6. Step 6: Final answer
    x = 913.96

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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.