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Finding the Fourth Proportional to 1,160.41, 1,741.21 and 770.68

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Solution

The fourth proportional to 1,160.41, 1,741.21 and 770.68 is: 1,156.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.41 : 1,741.21 = 770.68 : x
  2. Step 2: Convert to fraction form
    1,160.41/1,741.21 = 770.68/x
  3. Step 3: Cross multiply
    1,160.41x = 1,741.21 × 770.68
  4. Step 4: Simplify right side
    1,160.41x = 1,341,905.09
  5. Step 5: Solve for x
    x = 1,341,905.09/1,160.41
  6. Step 6: Final answer
    x = 1,156.41

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1.5x scale

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.