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Finding the Fourth Proportional to 1,063.12, 1,596.06 and 651.28

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Solution

The fourth proportional to 1,063.12, 1,596.06 and 651.28 is: 977.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.12 : 1,596.06 = 651.28 : x
  2. Step 2: Convert to fraction form
    1,063.12/1,596.06 = 651.28/x
  3. Step 3: Cross multiply
    1,063.12x = 1,596.06 × 651.28
  4. Step 4: Simplify right side
    1,063.12x = 1,039,481.96
  5. Step 5: Solve for x
    x = 1,039,481.96/1,063.12
  6. Step 6: Final answer
    x = 977.77

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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.