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Finding the Fourth Proportional to 1,284.33, 1,926.50 and 770.25

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Solution

The fourth proportional to 1,284.33, 1,926.50 and 770.25 is: 1,155.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.33 : 1,926.50 = 770.25 : x
  2. Step 2: Convert to fraction form
    1,284.33/1,926.50 = 770.25/x
  3. Step 3: Cross multiply
    1,284.33x = 1,926.50 × 770.25
  4. Step 4: Simplify right side
    1,284.33x = 1,483,882.77
  5. Step 5: Solve for x
    x = 1,483,882.77/1,284.33
  6. Step 6: Final answer
    x = 1,155.38

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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.