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Finding the Fourth Proportional to 930.78, 1,285.38 and 697.50

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Solution

The fourth proportional to 930.78, 1,285.38 and 697.50 is: 963.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.78 : 1,285.38 = 697.50 : x
  2. Step 2: Convert to fraction form
    930.78/1,285.38 = 697.50/x
  3. Step 3: Cross multiply
    930.78x = 1,285.38 × 697.50
  4. Step 4: Simplify right side
    930.78x = 896,552.55
  5. Step 5: Solve for x
    x = 896,552.55/930.78
  6. Step 6: Final answer
    x = 963.23

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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.