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Finding the Fourth Proportional to 947.63, 1,307.73 and 533.63

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Solution

The fourth proportional to 947.63, 1,307.73 and 533.63 is: 736.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.63 : 1,307.73 = 533.63 : x
  2. Step 2: Convert to fraction form
    947.63/1,307.73 = 533.63/x
  3. Step 3: Cross multiply
    947.63x = 1,307.73 × 533.63
  4. Step 4: Simplify right side
    947.63x = 697,837.42
  5. Step 5: Solve for x
    x = 697,837.42/947.63
  6. Step 6: Final answer
    x = 736.41

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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.