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Finding the Fourth Proportional to 1,349.69, 1,863.41 and 977.87

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Solution

The fourth proportional to 1,349.69, 1,863.41 and 977.87 is: 1,350.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,349.69 : 1,863.41 = 977.87 : x
  2. Step 2: Convert to fraction form
    1,349.69/1,863.41 = 977.87/x
  3. Step 3: Cross multiply
    1,349.69x = 1,863.41 × 977.87
  4. Step 4: Simplify right side
    1,349.69x = 1,822,165.86
  5. Step 5: Solve for x
    x = 1,822,165.86/1,349.69
  6. Step 6: Final answer
    x = 1,350.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.