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Finding the Fourth Proportional to 1,095.33, 1,641.15 and 770.12

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Solution

The fourth proportional to 1,095.33, 1,641.15 and 770.12 is: 1,153.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.33 : 1,641.15 = 770.12 : x
  2. Step 2: Convert to fraction form
    1,095.33/1,641.15 = 770.12/x
  3. Step 3: Cross multiply
    1,095.33x = 1,641.15 × 770.12
  4. Step 4: Simplify right side
    1,095.33x = 1,263,874.23
  5. Step 5: Solve for x
    x = 1,263,874.23/1,095.33
  6. Step 6: Final answer
    x = 1,153.88

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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.