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Finding the Fourth Proportional to 947.37, 1,307.42 and 527.76

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Solution

The fourth proportional to 947.37, 1,307.42 and 527.76 is: 728.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.37 : 1,307.42 = 527.76 : x
  2. Step 2: Convert to fraction form
    947.37/1,307.42 = 527.76/x
  3. Step 3: Cross multiply
    947.37x = 1,307.42 × 527.76
  4. Step 4: Simplify right side
    947.37x = 690,001.34
  5. Step 5: Solve for x
    x = 690,001.34/947.37
  6. Step 6: Final answer
    x = 728.33

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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.