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Finding the Fourth Proportional to 1,207.16, 1,665.72 and 683.12

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Solution

The fourth proportional to 1,207.16, 1,665.72 and 683.12 is: 942.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.16 : 1,665.72 = 683.12 : x
  2. Step 2: Convert to fraction form
    1,207.16/1,665.72 = 683.12/x
  3. Step 3: Cross multiply
    1,207.16x = 1,665.72 × 683.12
  4. Step 4: Simplify right side
    1,207.16x = 1,137,886.65
  5. Step 5: Solve for x
    x = 1,137,886.65/1,207.16
  6. Step 6: Final answer
    x = 942.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.