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Finding the Fourth Proportional to 947.50, 1,307.46 and 527.83

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Solution

The fourth proportional to 947.50, 1,307.46 and 527.83 is: 728.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.50 : 1,307.46 = 527.83 : x
  2. Step 2: Convert to fraction form
    947.50/1,307.46 = 527.83/x
  3. Step 3: Cross multiply
    947.50x = 1,307.46 × 527.83
  4. Step 4: Simplify right side
    947.50x = 690,116.61
  5. Step 5: Solve for x
    x = 690,116.61/947.50
  6. Step 6: Final answer
    x = 728.36

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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.