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Finding the Fourth Proportional to 1,396.29, 1,926.93 and 798.89

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Solution

The fourth proportional to 1,396.29, 1,926.93 and 798.89 is: 1,102.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.29 : 1,926.93 = 798.89 : x
  2. Step 2: Convert to fraction form
    1,396.29/1,926.93 = 798.89/x
  3. Step 3: Cross multiply
    1,396.29x = 1,926.93 × 798.89
  4. Step 4: Simplify right side
    1,396.29x = 1,539,405.11
  5. Step 5: Solve for x
    x = 1,539,405.11/1,396.29
  6. Step 6: Final answer
    x = 1,102.50

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1.5x scale

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.