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Finding the Fourth Proportional to 1,072.50, 1,605.69 and 706.17

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Solution

The fourth proportional to 1,072.50, 1,605.69 and 706.17 is: 1,057.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.50 : 1,605.69 = 706.17 : x
  2. Step 2: Convert to fraction form
    1,072.50/1,605.69 = 706.17/x
  3. Step 3: Cross multiply
    1,072.50x = 1,605.69 × 706.17
  4. Step 4: Simplify right side
    1,072.50x = 1,133,890.11
  5. Step 5: Solve for x
    x = 1,133,890.11/1,072.50
  6. Step 6: Final answer
    x = 1,057.24

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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.