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Finding the Fourth Proportional to 1,065.73, 1,594.79 and 736.73

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Solution

The fourth proportional to 1,065.73, 1,594.79 and 736.73 is: 1,102.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.73 : 1,594.79 = 736.73 : x
  2. Step 2: Convert to fraction form
    1,065.73/1,594.79 = 736.73/x
  3. Step 3: Cross multiply
    1,065.73x = 1,594.79 × 736.73
  4. Step 4: Simplify right side
    1,065.73x = 1,174,925.95
  5. Step 5: Solve for x
    x = 1,174,925.95/1,065.73
  6. Step 6: Final answer
    x = 1,102.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.