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Finding the Fourth Proportional to 947.94, 1,308.06 and 528.24

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Solution

The fourth proportional to 947.94, 1,308.06 and 528.24 is: 728.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.94 : 1,308.06 = 528.24 : x
  2. Step 2: Convert to fraction form
    947.94/1,308.06 = 528.24/x
  3. Step 3: Cross multiply
    947.94x = 1,308.06 × 528.24
  4. Step 4: Simplify right side
    947.94x = 690,969.61
  5. Step 5: Solve for x
    x = 690,969.61/947.94
  6. Step 6: Final answer
    x = 728.92

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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.