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Finding the Fourth Proportional to 1,039.05, 1,433.97 and 597.11

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Solution

The fourth proportional to 1,039.05, 1,433.97 and 597.11 is: 824.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.05 : 1,433.97 = 597.11 : x
  2. Step 2: Convert to fraction form
    1,039.05/1,433.97 = 597.11/x
  3. Step 3: Cross multiply
    1,039.05x = 1,433.97 × 597.11
  4. Step 4: Simplify right side
    1,039.05x = 856,230.66
  5. Step 5: Solve for x
    x = 856,230.66/1,039.05
  6. Step 6: Final answer
    x = 824.05

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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.