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Finding the Fourth Proportional to 1,263.75, 1,895.84 and 770.46

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Solution

The fourth proportional to 1,263.75, 1,895.84 and 770.46 is: 1,155.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.75 : 1,895.84 = 770.46 : x
  2. Step 2: Convert to fraction form
    1,263.75/1,895.84 = 770.46/x
  3. Step 3: Cross multiply
    1,263.75x = 1,895.84 × 770.46
  4. Step 4: Simplify right side
    1,263.75x = 1,460,665.03
  5. Step 5: Solve for x
    x = 1,460,665.03/1,263.75
  6. Step 6: Final answer
    x = 1,155.82

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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.