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Finding the Fourth Proportional to 947.69, 1,307.66 and 593.56

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Solution

The fourth proportional to 947.69, 1,307.66 and 593.56 is: 819.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.69 : 1,307.66 = 593.56 : x
  2. Step 2: Convert to fraction form
    947.69/1,307.66 = 593.56/x
  3. Step 3: Cross multiply
    947.69x = 1,307.66 × 593.56
  4. Step 4: Simplify right side
    947.69x = 776,168.43
  5. Step 5: Solve for x
    x = 776,168.43/947.69
  6. Step 6: Final answer
    x = 819.02

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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.