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Finding the Fourth Proportional to 1,459.50, 2,014.23 and 830.24

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Solution

The fourth proportional to 1,459.50, 2,014.23 and 830.24 is: 1,145.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.50 : 2,014.23 = 830.24 : x
  2. Step 2: Convert to fraction form
    1,459.50/2,014.23 = 830.24/x
  3. Step 3: Cross multiply
    1,459.50x = 2,014.23 × 830.24
  4. Step 4: Simplify right side
    1,459.50x = 1,672,284.24
  5. Step 5: Solve for x
    x = 1,672,284.24/1,459.50
  6. Step 6: Final answer
    x = 1,145.79

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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.