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Finding the Fourth Proportional to 1,065.37, 1,596.03 and 653.89

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Solution

The fourth proportional to 1,065.37, 1,596.03 and 653.89 is: 979.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.37 : 1,596.03 = 653.89 : x
  2. Step 2: Convert to fraction form
    1,065.37/1,596.03 = 653.89/x
  3. Step 3: Cross multiply
    1,065.37x = 1,596.03 × 653.89
  4. Step 4: Simplify right side
    1,065.37x = 1,043,628.06
  5. Step 5: Solve for x
    x = 1,043,628.06/1,065.37
  6. Step 6: Final answer
    x = 979.59

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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.