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Finding the Fourth Proportional to 1,159.76, 1,741.26 and 770.96

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Solution

The fourth proportional to 1,159.76, 1,741.26 and 770.96 is: 1,157.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.76 : 1,741.26 = 770.96 : x
  2. Step 2: Convert to fraction form
    1,159.76/1,741.26 = 770.96/x
  3. Step 3: Cross multiply
    1,159.76x = 1,741.26 × 770.96
  4. Step 4: Simplify right side
    1,159.76x = 1,342,441.81
  5. Step 5: Solve for x
    x = 1,342,441.81/1,159.76
  6. Step 6: Final answer
    x = 1,157.52

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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.