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Finding the Fourth Proportional to 947.43, 1,307.37 and 527.75

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Solution

The fourth proportional to 947.43, 1,307.37 and 527.75 is: 728.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.43 : 1,307.37 = 527.75 : x
  2. Step 2: Convert to fraction form
    947.43/1,307.37 = 527.75/x
  3. Step 3: Cross multiply
    947.43x = 1,307.37 × 527.75
  4. Step 4: Simplify right side
    947.43x = 689,964.86
  5. Step 5: Solve for x
    x = 689,964.86/947.43
  6. Step 6: Final answer
    x = 728.25

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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.