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Finding the Fourth Proportional to 1,370.65, 2,055.96 and 850.31

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Solution

The fourth proportional to 1,370.65, 2,055.96 and 850.31 is: 1,275.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.65 : 2,055.96 = 850.31 : x
  2. Step 2: Convert to fraction form
    1,370.65/2,055.96 = 850.31/x
  3. Step 3: Cross multiply
    1,370.65x = 2,055.96 × 850.31
  4. Step 4: Simplify right side
    1,370.65x = 1,748,203.35
  5. Step 5: Solve for x
    x = 1,748,203.35/1,370.65
  6. Step 6: Final answer
    x = 1,275.46

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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.