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Finding the Fourth Proportional to 947.01, 1,307.04 and 548.61

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Solution

The fourth proportional to 947.01, 1,307.04 and 548.61 is: 757.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.01 : 1,307.04 = 548.61 : x
  2. Step 2: Convert to fraction form
    947.01/1,307.04 = 548.61/x
  3. Step 3: Cross multiply
    947.01x = 1,307.04 × 548.61
  4. Step 4: Simplify right side
    947.01x = 717,048.26
  5. Step 5: Solve for x
    x = 717,048.26/947.01
  6. Step 6: Final answer
    x = 757.17

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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.