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Finding the Fourth Proportional to 1,459, 2,014.33 and 935.94

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Solution

The fourth proportional to 1,459, 2,014.33 and 935.94 is: 1,292.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459 : 2,014.33 = 935.94 : x
  2. Step 2: Convert to fraction form
    1,459/2,014.33 = 935.94/x
  3. Step 3: Cross multiply
    1,459x = 2,014.33 × 935.94
  4. Step 4: Simplify right side
    1,459x = 1,885,292.02
  5. Step 5: Solve for x
    x = 1,885,292.02/1,459
  6. Step 6: Final answer
    x = 1,292.18

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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.