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Finding the Fourth Proportional to 1,019.86, 1,519.26 and 972.88

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Solution

The fourth proportional to 1,019.86, 1,519.26 and 972.88 is: 1,449.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.86 : 1,519.26 = 972.88 : x
  2. Step 2: Convert to fraction form
    1,019.86/1,519.26 = 972.88/x
  3. Step 3: Cross multiply
    1,019.86x = 1,519.26 × 972.88
  4. Step 4: Simplify right side
    1,019.86x = 1,478,057.67
  5. Step 5: Solve for x
    x = 1,478,057.67/1,019.86
  6. Step 6: Final answer
    x = 1,449.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.