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Finding the Fourth Proportional to 1,039.24, 1,434.26 and 646.32

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Solution

The fourth proportional to 1,039.24, 1,434.26 and 646.32 is: 891.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.24 : 1,434.26 = 646.32 : x
  2. Step 2: Convert to fraction form
    1,039.24/1,434.26 = 646.32/x
  3. Step 3: Cross multiply
    1,039.24x = 1,434.26 × 646.32
  4. Step 4: Simplify right side
    1,039.24x = 926,992.54
  5. Step 5: Solve for x
    x = 926,992.54/1,039.24
  6. Step 6: Final answer
    x = 891.99

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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.