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Finding the Fourth Proportional to 1,329.70, 1,834.98 and 770.26

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Solution

The fourth proportional to 1,329.70, 1,834.98 and 770.26 is: 1,062.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,329.70 : 1,834.98 = 770.26 : x
  2. Step 2: Convert to fraction form
    1,329.70/1,834.98 = 770.26/x
  3. Step 3: Cross multiply
    1,329.70x = 1,834.98 × 770.26
  4. Step 4: Simplify right side
    1,329.70x = 1,413,411.69
  5. Step 5: Solve for x
    x = 1,413,411.69/1,329.70
  6. Step 6: Final answer
    x = 1,062.96

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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.