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Finding the Fourth Proportional to 1,329.58, 1,834.86 and 770.14

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Solution

The fourth proportional to 1,329.58, 1,834.86 and 770.14 is: 1,062.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.58 : 1,834.86 = 770.14 : x
  2. Step 2: Convert to fraction form
    1,329.58/1,834.86 = 770.14/x
  3. Step 3: Cross multiply
    1,329.58x = 1,834.86 × 770.14
  4. Step 4: Simplify right side
    1,329.58x = 1,413,099.08
  5. Step 5: Solve for x
    x = 1,413,099.08/1,329.58
  6. Step 6: Final answer
    x = 1,062.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.