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Finding the Fourth Proportional to 1,039.40, 1,434.40 and 597.29

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Solution

The fourth proportional to 1,039.40, 1,434.40 and 597.29 is: 824.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.40 : 1,434.40 = 597.29 : x
  2. Step 2: Convert to fraction form
    1,039.40/1,434.40 = 597.29/x
  3. Step 3: Cross multiply
    1,039.40x = 1,434.40 × 597.29
  4. Step 4: Simplify right side
    1,039.40x = 856,742.62
  5. Step 5: Solve for x
    x = 856,742.62/1,039.40
  6. Step 6: Final answer
    x = 824.27

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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.