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Finding the Fourth Proportional to 1,170.70, 1,613.95 and 935.44

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Solution

The fourth proportional to 1,170.70, 1,613.95 and 935.44 is: 1,289.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.70 : 1,613.95 = 935.44 : x
  2. Step 2: Convert to fraction form
    1,170.70/1,613.95 = 935.44/x
  3. Step 3: Cross multiply
    1,170.70x = 1,613.95 × 935.44
  4. Step 4: Simplify right side
    1,170.70x = 1,509,747.01
  5. Step 5: Solve for x
    x = 1,509,747.01/1,170.70
  6. Step 6: Final answer
    x = 1,289.61

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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.