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Finding the Fourth Proportional to 943.72, 1,302.06 and 594.52

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Solution

The fourth proportional to 943.72, 1,302.06 and 594.52 is: 820.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.72 : 1,302.06 = 594.52 : x
  2. Step 2: Convert to fraction form
    943.72/1,302.06 = 594.52/x
  3. Step 3: Cross multiply
    943.72x = 1,302.06 × 594.52
  4. Step 4: Simplify right side
    943.72x = 774,100.71
  5. Step 5: Solve for x
    x = 774,100.71/943.72
  6. Step 6: Final answer
    x = 820.27

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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.