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Finding the Fourth Proportional to 1,428.70, 1,971.59 and 799.23

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Solution

The fourth proportional to 1,428.70, 1,971.59 and 799.23 is: 1,102.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.70 : 1,971.59 = 799.23 : x
  2. Step 2: Convert to fraction form
    1,428.70/1,971.59 = 799.23/x
  3. Step 3: Cross multiply
    1,428.70x = 1,971.59 × 799.23
  4. Step 4: Simplify right side
    1,428.70x = 1,575,742.02
  5. Step 5: Solve for x
    x = 1,575,742.02/1,428.70
  6. Step 6: Final answer
    x = 1,102.92

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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.