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Finding the Fourth Proportional to 1,039.29, 1,561.37 and 893.49

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Solution

The fourth proportional to 1,039.29, 1,561.37 and 893.49 is: 1,342.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.29 : 1,561.37 = 893.49 : x
  2. Step 2: Convert to fraction form
    1,039.29/1,561.37 = 893.49/x
  3. Step 3: Cross multiply
    1,039.29x = 1,561.37 × 893.49
  4. Step 4: Simplify right side
    1,039.29x = 1,395,064.01
  5. Step 5: Solve for x
    x = 1,395,064.01/1,039.29
  6. Step 6: Final answer
    x = 1,342.32

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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.