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Finding the Fourth Proportional to 1,181.84, 1,769.16 and 770.10

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Solution

The fourth proportional to 1,181.84, 1,769.16 and 770.10 is: 1,152.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.84 : 1,769.16 = 770.10 : x
  2. Step 2: Convert to fraction form
    1,181.84/1,769.16 = 770.10/x
  3. Step 3: Cross multiply
    1,181.84x = 1,769.16 × 770.10
  4. Step 4: Simplify right side
    1,181.84x = 1,362,430.12
  5. Step 5: Solve for x
    x = 1,362,430.12/1,181.84
  6. Step 6: Final answer
    x = 1,152.80

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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.