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Finding the Fourth Proportional to 1,459.72, 2,014.36 and 869.95

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Solution

The fourth proportional to 1,459.72, 2,014.36 and 869.95 is: 1,200.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.72 : 2,014.36 = 869.95 : x
  2. Step 2: Convert to fraction form
    1,459.72/2,014.36 = 869.95/x
  3. Step 3: Cross multiply
    1,459.72x = 2,014.36 × 869.95
  4. Step 4: Simplify right side
    1,459.72x = 1,752,392.48
  5. Step 5: Solve for x
    x = 1,752,392.48/1,459.72
  6. Step 6: Final answer
    x = 1,200.50

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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.