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Finding the Fourth Proportional to 1,159.78, 1,600.54 and 662.42

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Solution

The fourth proportional to 1,159.78, 1,600.54 and 662.42 is: 914.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.78 : 1,600.54 = 662.42 : x
  2. Step 2: Convert to fraction form
    1,159.78/1,600.54 = 662.42/x
  3. Step 3: Cross multiply
    1,159.78x = 1,600.54 × 662.42
  4. Step 4: Simplify right side
    1,159.78x = 1,060,229.71
  5. Step 5: Solve for x
    x = 1,060,229.71/1,159.78
  6. Step 6: Final answer
    x = 914.16

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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.