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Finding the Fourth Proportional to 1,039.23, 1,434.44 and 646.58

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Solution

The fourth proportional to 1,039.23, 1,434.44 and 646.58 is: 892.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.23 : 1,434.44 = 646.58 : x
  2. Step 2: Convert to fraction form
    1,039.23/1,434.44 = 646.58/x
  3. Step 3: Cross multiply
    1,039.23x = 1,434.44 × 646.58
  4. Step 4: Simplify right side
    1,039.23x = 927,485.42
  5. Step 5: Solve for x
    x = 927,485.42/1,039.23
  6. Step 6: Final answer
    x = 892.47

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