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Finding the Fourth Proportional to 947.17, 1,307.05 and 527.50

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Solution

The fourth proportional to 947.17, 1,307.05 and 527.50 is: 727.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.17 : 1,307.05 = 527.50 : x
  2. Step 2: Convert to fraction form
    947.17/1,307.05 = 527.50/x
  3. Step 3: Cross multiply
    947.17x = 1,307.05 × 527.50
  4. Step 4: Simplify right side
    947.17x = 689,468.88
  5. Step 5: Solve for x
    x = 689,468.88/947.17
  6. Step 6: Final answer
    x = 727.93

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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.