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Finding the Fourth Proportional to 1,162.81, 1,605.99 and 771.58

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Solution

The fourth proportional to 1,162.81, 1,605.99 and 771.58 is: 1,065.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.81 : 1,605.99 = 771.58 : x
  2. Step 2: Convert to fraction form
    1,162.81/1,605.99 = 771.58/x
  3. Step 3: Cross multiply
    1,162.81x = 1,605.99 × 771.58
  4. Step 4: Simplify right side
    1,162.81x = 1,239,149.76
  5. Step 5: Solve for x
    x = 1,239,149.76/1,162.81
  6. Step 6: Final answer
    x = 1,065.65

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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.