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Finding the Fourth Proportional to 1,063.76, 1,596.24 and 486.56

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Solution

The fourth proportional to 1,063.76, 1,596.24 and 486.56 is: 730.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.76 : 1,596.24 = 486.56 : x
  2. Step 2: Convert to fraction form
    1,063.76/1,596.24 = 486.56/x
  3. Step 3: Cross multiply
    1,063.76x = 1,596.24 × 486.56
  4. Step 4: Simplify right side
    1,063.76x = 776,666.53
  5. Step 5: Solve for x
    x = 776,666.53/1,063.76
  6. Step 6: Final answer
    x = 730.11

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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.