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Finding the Fourth Proportional to 947.21, 1,307.15 and 527.55

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Solution

The fourth proportional to 947.21, 1,307.15 and 527.55 is: 728.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.21 : 1,307.15 = 527.55 : x
  2. Step 2: Convert to fraction form
    947.21/1,307.15 = 527.55/x
  3. Step 3: Cross multiply
    947.21x = 1,307.15 × 527.55
  4. Step 4: Simplify right side
    947.21x = 689,584.34
  5. Step 5: Solve for x
    x = 689,584.34/947.21
  6. Step 6: Final answer
    x = 728.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.