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Finding the Fourth Proportional to 947.34, 1,307.42 and 527.83

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Solution

The fourth proportional to 947.34, 1,307.42 and 527.83 is: 728.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.34 : 1,307.42 = 527.83 : x
  2. Step 2: Convert to fraction form
    947.34/1,307.42 = 527.83/x
  3. Step 3: Cross multiply
    947.34x = 1,307.42 × 527.83
  4. Step 4: Simplify right side
    947.34x = 690,095.50
  5. Step 5: Solve for x
    x = 690,095.50/947.34
  6. Step 6: Final answer
    x = 728.46

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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.