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Finding the Fourth Proportional to 1,039.64, 1,434.50 and 597.56

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Solution

The fourth proportional to 1,039.64, 1,434.50 and 597.56 is: 824.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.64 : 1,434.50 = 597.56 : x
  2. Step 2: Convert to fraction form
    1,039.64/1,434.50 = 597.56/x
  3. Step 3: Cross multiply
    1,039.64x = 1,434.50 × 597.56
  4. Step 4: Simplify right side
    1,039.64x = 857,189.66
  5. Step 5: Solve for x
    x = 857,189.66/1,039.64
  6. Step 6: Final answer
    x = 824.51

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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.