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Finding the Fourth Proportional to 1,364.29, 2,047.46 and 531.49

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Solution

The fourth proportional to 1,364.29, 2,047.46 and 531.49 is: 797.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.29 : 2,047.46 = 531.49 : x
  2. Step 2: Convert to fraction form
    1,364.29/2,047.46 = 531.49/x
  3. Step 3: Cross multiply
    1,364.29x = 2,047.46 × 531.49
  4. Step 4: Simplify right side
    1,364.29x = 1,088,196.74
  5. Step 5: Solve for x
    x = 1,088,196.74/1,364.29
  6. Step 6: Final answer
    x = 797.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.