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Finding the Fourth Proportional to 1,039.84, 1,560.32 and 491.68

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Solution

The fourth proportional to 1,039.84, 1,560.32 and 491.68 is: 737.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.84 : 1,560.32 = 491.68 : x
  2. Step 2: Convert to fraction form
    1,039.84/1,560.32 = 491.68/x
  3. Step 3: Cross multiply
    1,039.84x = 1,560.32 × 491.68
  4. Step 4: Simplify right side
    1,039.84x = 767,178.14
  5. Step 5: Solve for x
    x = 767,178.14/1,039.84
  6. Step 6: Final answer
    x = 737.78

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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.