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Finding the Fourth Proportional to 1,095.85, 1,641.95 and 770.53

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Solution

The fourth proportional to 1,095.85, 1,641.95 and 770.53 is: 1,154.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.85 : 1,641.95 = 770.53 : x
  2. Step 2: Convert to fraction form
    1,095.85/1,641.95 = 770.53/x
  3. Step 3: Cross multiply
    1,095.85x = 1,641.95 × 770.53
  4. Step 4: Simplify right side
    1,095.85x = 1,265,171.73
  5. Step 5: Solve for x
    x = 1,265,171.73/1,095.85
  6. Step 6: Final answer
    x = 1,154.51

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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.