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Finding the Fourth Proportional to 947.74, 1,307.94 and 593.89

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Solution

The fourth proportional to 947.74, 1,307.94 and 593.89 is: 819.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.74 : 1,307.94 = 593.89 : x
  2. Step 2: Convert to fraction form
    947.74/1,307.94 = 593.89/x
  3. Step 3: Cross multiply
    947.74x = 1,307.94 × 593.89
  4. Step 4: Simplify right side
    947.74x = 776,772.49
  5. Step 5: Solve for x
    x = 776,772.49/947.74
  6. Step 6: Final answer
    x = 819.61

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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.