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Finding the Fourth Proportional to 1,134.54, 1,565.82 and 662.58

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Solution

The fourth proportional to 1,134.54, 1,565.82 and 662.58 is: 914.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.54 : 1,565.82 = 662.58 : x
  2. Step 2: Convert to fraction form
    1,134.54/1,565.82 = 662.58/x
  3. Step 3: Cross multiply
    1,134.54x = 1,565.82 × 662.58
  4. Step 4: Simplify right side
    1,134.54x = 1,037,481.02
  5. Step 5: Solve for x
    x = 1,037,481.02/1,134.54
  6. Step 6: Final answer
    x = 914.45

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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.