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Finding the Fourth Proportional to 1,012.84, 1,520.52 and 706.64

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Solution

The fourth proportional to 1,012.84, 1,520.52 and 706.64 is: 1,060.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.84 : 1,520.52 = 706.64 : x
  2. Step 2: Convert to fraction form
    1,012.84/1,520.52 = 706.64/x
  3. Step 3: Cross multiply
    1,012.84x = 1,520.52 × 706.64
  4. Step 4: Simplify right side
    1,012.84x = 1,074,460.25
  5. Step 5: Solve for x
    x = 1,074,460.25/1,012.84
  6. Step 6: Final answer
    x = 1,060.84

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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.