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Finding the Fourth Proportional to 1,110.71, 1,664.88 and 835.95

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Solution

The fourth proportional to 1,110.71, 1,664.88 and 835.95 is: 1,253.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,110.71 : 1,664.88 = 835.95 : x
  2. Step 2: Convert to fraction form
    1,110.71/1,664.88 = 835.95/x
  3. Step 3: Cross multiply
    1,110.71x = 1,664.88 × 835.95
  4. Step 4: Simplify right side
    1,110.71x = 1,391,750.18
  5. Step 5: Solve for x
    x = 1,391,750.18/1,110.71
  6. Step 6: Final answer
    x = 1,253.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.