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Finding the Fourth Proportional to 1,014.84, 1,523.52 and 708.64

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Solution

The fourth proportional to 1,014.84, 1,523.52 and 708.64 is: 1,063.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.84 : 1,523.52 = 708.64 : x
  2. Step 2: Convert to fraction form
    1,014.84/1,523.52 = 708.64/x
  3. Step 3: Cross multiply
    1,014.84x = 1,523.52 × 708.64
  4. Step 4: Simplify right side
    1,014.84x = 1,079,627.21
  5. Step 5: Solve for x
    x = 1,079,627.21/1,014.84
  6. Step 6: Final answer
    x = 1,063.84

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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.