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Finding the Fourth Proportional to 1,014.73, 1,520.72 and 465.70

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Solution

The fourth proportional to 1,014.73, 1,520.72 and 465.70 is: 697.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.73 : 1,520.72 = 465.70 : x
  2. Step 2: Convert to fraction form
    1,014.73/1,520.72 = 465.70/x
  3. Step 3: Cross multiply
    1,014.73x = 1,520.72 × 465.70
  4. Step 4: Simplify right side
    1,014.73x = 708,200.39
  5. Step 5: Solve for x
    x = 708,200.39/1,014.73
  6. Step 6: Final answer
    x = 697.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.