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Finding the Fourth Proportional to 1,087.41, 1,501.08 and 772.73

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Solution

The fourth proportional to 1,087.41, 1,501.08 and 772.73 is: 1,066.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.41 : 1,501.08 = 772.73 : x
  2. Step 2: Convert to fraction form
    1,087.41/1,501.08 = 772.73/x
  3. Step 3: Cross multiply
    1,087.41x = 1,501.08 × 772.73
  4. Step 4: Simplify right side
    1,087.41x = 1,159,922.04
  5. Step 5: Solve for x
    x = 1,159,922.04/1,087.41
  6. Step 6: Final answer
    x = 1,066.68

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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.