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Finding the Fourth Proportional to 1,065.83, 1,596.69 and 653.76

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Solution

The fourth proportional to 1,065.83, 1,596.69 and 653.76 is: 979.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.83 : 1,596.69 = 653.76 : x
  2. Step 2: Convert to fraction form
    1,065.83/1,596.69 = 653.76/x
  3. Step 3: Cross multiply
    1,065.83x = 1,596.69 × 653.76
  4. Step 4: Simplify right side
    1,065.83x = 1,043,852.05
  5. Step 5: Solve for x
    x = 1,043,852.05/1,065.83
  6. Step 6: Final answer
    x = 979.38

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