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Finding the Fourth Proportional to 1,425.46, 1,966.69 and 835.99

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Solution

The fourth proportional to 1,425.46, 1,966.69 and 835.99 is: 1,153.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,425.46 : 1,966.69 = 835.99 : x
  2. Step 2: Convert to fraction form
    1,425.46/1,966.69 = 835.99/x
  3. Step 3: Cross multiply
    1,425.46x = 1,966.69 × 835.99
  4. Step 4: Simplify right side
    1,425.46x = 1,644,133.17
  5. Step 5: Solve for x
    x = 1,644,133.17/1,425.46
  6. Step 6: Final answer
    x = 1,153.41

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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.