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Finding the Fourth Proportional to 947.54, 1,307.04 and 698.78

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Solution

The fourth proportional to 947.54, 1,307.04 and 698.78 is: 963.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.54 : 1,307.04 = 698.78 : x
  2. Step 2: Convert to fraction form
    947.54/1,307.04 = 698.78/x
  3. Step 3: Cross multiply
    947.54x = 1,307.04 × 698.78
  4. Step 4: Simplify right side
    947.54x = 913,333.41
  5. Step 5: Solve for x
    x = 913,333.41/947.54
  6. Step 6: Final answer
    x = 963.90

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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.