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Finding the Fourth Proportional to 947.21, 1,307.22 and 527.66

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Solution

The fourth proportional to 947.21, 1,307.22 and 527.66 is: 728.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.21 : 1,307.22 = 527.66 : x
  2. Step 2: Convert to fraction form
    947.21/1,307.22 = 527.66/x
  3. Step 3: Cross multiply
    947.21x = 1,307.22 × 527.66
  4. Step 4: Simplify right side
    947.21x = 689,767.71
  5. Step 5: Solve for x
    x = 689,767.71/947.21
  6. Step 6: Final answer
    x = 728.21

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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.