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Finding the Fourth Proportional to 1,351.65, 1,865.31 and 762.12

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Solution

The fourth proportional to 1,351.65, 1,865.31 and 762.12 is: 1,051.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.65 : 1,865.31 = 762.12 : x
  2. Step 2: Convert to fraction form
    1,351.65/1,865.31 = 762.12/x
  3. Step 3: Cross multiply
    1,351.65x = 1,865.31 × 762.12
  4. Step 4: Simplify right side
    1,351.65x = 1,421,590.06
  5. Step 5: Solve for x
    x = 1,421,590.06/1,351.65
  6. Step 6: Final answer
    x = 1,051.74

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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.