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Finding the Fourth Proportional to 1,039.56, 1,434.30 and 597.44

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Solution

The fourth proportional to 1,039.56, 1,434.30 and 597.44 is: 824.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.56 : 1,434.30 = 597.44 : x
  2. Step 2: Convert to fraction form
    1,039.56/1,434.30 = 597.44/x
  3. Step 3: Cross multiply
    1,039.56x = 1,434.30 × 597.44
  4. Step 4: Simplify right side
    1,039.56x = 856,901.02
  5. Step 5: Solve for x
    x = 856,901.02/1,039.56
  6. Step 6: Final answer
    x = 824.29

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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.