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Finding the Fourth Proportional to 867.96, 1,300.86 and 770.22

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Solution

The fourth proportional to 867.96, 1,300.86 and 770.22 is: 1,154.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.96 : 1,300.86 = 770.22 : x
  2. Step 2: Convert to fraction form
    867.96/1,300.86 = 770.22/x
  3. Step 3: Cross multiply
    867.96x = 1,300.86 × 770.22
  4. Step 4: Simplify right side
    867.96x = 1,001,948.39
  5. Step 5: Solve for x
    x = 1,001,948.39/867.96
  6. Step 6: Final answer
    x = 1,154.37

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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.