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Finding the Fourth Proportional to 1,370.86, 2,055.61 and 630.25

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Solution

The fourth proportional to 1,370.86, 2,055.61 and 630.25 is: 945.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.86 : 2,055.61 = 630.25 : x
  2. Step 2: Convert to fraction form
    1,370.86/2,055.61 = 630.25/x
  3. Step 3: Cross multiply
    1,370.86x = 2,055.61 × 630.25
  4. Step 4: Simplify right side
    1,370.86x = 1,295,543.85
  5. Step 5: Solve for x
    x = 1,295,543.85/1,370.86
  6. Step 6: Final answer
    x = 945.06

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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.