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Finding the Fourth Proportional to 983.57, 1,358.38 and 611.43

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Solution

The fourth proportional to 983.57, 1,358.38 and 611.43 is: 844.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.57 : 1,358.38 = 611.43 : x
  2. Step 2: Convert to fraction form
    983.57/1,358.38 = 611.43/x
  3. Step 3: Cross multiply
    983.57x = 1,358.38 × 611.43
  4. Step 4: Simplify right side
    983.57x = 830,554.28
  5. Step 5: Solve for x
    x = 830,554.28/983.57
  6. Step 6: Final answer
    x = 844.43

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Double scale
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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.