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Finding the Fourth Proportional to 1,015.80, 1,523.66 and 706.76

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Solution

The fourth proportional to 1,015.80, 1,523.66 and 706.76 is: 1,060.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.80 : 1,523.66 = 706.76 : x
  2. Step 2: Convert to fraction form
    1,015.80/1,523.66 = 706.76/x
  3. Step 3: Cross multiply
    1,015.80x = 1,523.66 × 706.76
  4. Step 4: Simplify right side
    1,015.80x = 1,076,861.94
  5. Step 5: Solve for x
    x = 1,076,861.94/1,015.80
  6. Step 6: Final answer
    x = 1,060.11

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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.