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Finding the Fourth Proportional to 1,159.92, 1,740.64 and 770.36

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Solution

The fourth proportional to 1,159.92, 1,740.64 and 770.36 is: 1,156.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.92 : 1,740.64 = 770.36 : x
  2. Step 2: Convert to fraction form
    1,159.92/1,740.64 = 770.36/x
  3. Step 3: Cross multiply
    1,159.92x = 1,740.64 × 770.36
  4. Step 4: Simplify right side
    1,159.92x = 1,340,919.43
  5. Step 5: Solve for x
    x = 1,340,919.43/1,159.92
  6. Step 6: Final answer
    x = 1,156.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.