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Finding the Fourth Proportional to 1,459.76, 2,014.45 and 796.63

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Solution

The fourth proportional to 1,459.76, 2,014.45 and 796.63 is: 1,099.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.76 : 2,014.45 = 796.63 : x
  2. Step 2: Convert to fraction form
    1,459.76/2,014.45 = 796.63/x
  3. Step 3: Cross multiply
    1,459.76x = 2,014.45 × 796.63
  4. Step 4: Simplify right side
    1,459.76x = 1,604,764.28
  5. Step 5: Solve for x
    x = 1,604,764.28/1,459.76
  6. Step 6: Final answer
    x = 1,099.34

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1.5x scale

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.