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Finding the Fourth Proportional to 1,330.74, 1,834.51 and 936.54

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Solution

The fourth proportional to 1,330.74, 1,834.51 and 936.54 is: 1,291.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.74 : 1,834.51 = 936.54 : x
  2. Step 2: Convert to fraction form
    1,330.74/1,834.51 = 936.54/x
  3. Step 3: Cross multiply
    1,330.74x = 1,834.51 × 936.54
  4. Step 4: Simplify right side
    1,330.74x = 1,718,092.00
  5. Step 5: Solve for x
    x = 1,718,092.00/1,330.74
  6. Step 6: Final answer
    x = 1,291.08

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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.