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Finding the Fourth Proportional to 947.73, 1,307.83 and 528.06

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Solution

The fourth proportional to 947.73, 1,307.83 and 528.06 is: 728.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.73 : 1,307.83 = 528.06 : x
  2. Step 2: Convert to fraction form
    947.73/1,307.83 = 528.06/x
  3. Step 3: Cross multiply
    947.73x = 1,307.83 × 528.06
  4. Step 4: Simplify right side
    947.73x = 690,604.76
  5. Step 5: Solve for x
    x = 690,604.76/947.73
  6. Step 6: Final answer
    x = 728.70

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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.