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Finding the Fourth Proportional to 1,014.84, 1,519.54 and 706.04

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Solution

The fourth proportional to 1,014.84, 1,519.54 and 706.04 is: 1,057.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.84 : 1,519.54 = 706.04 : x
  2. Step 2: Convert to fraction form
    1,014.84/1,519.54 = 706.04/x
  3. Step 3: Cross multiply
    1,014.84x = 1,519.54 × 706.04
  4. Step 4: Simplify right side
    1,014.84x = 1,072,856.02
  5. Step 5: Solve for x
    x = 1,072,856.02/1,014.84
  6. Step 6: Final answer
    x = 1,057.17

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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.