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Finding the Fourth Proportional to 947.62, 1,307.64 and 527.91

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Solution

The fourth proportional to 947.62, 1,307.64 and 527.91 is: 728.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.62 : 1,307.64 = 527.91 : x
  2. Step 2: Convert to fraction form
    947.62/1,307.64 = 527.91/x
  3. Step 3: Cross multiply
    947.62x = 1,307.64 × 527.91
  4. Step 4: Simplify right side
    947.62x = 690,316.23
  5. Step 5: Solve for x
    x = 690,316.23/947.62
  6. Step 6: Final answer
    x = 728.47

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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.