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Finding the Fourth Proportional to 683.08, 1,019.06 and 560.97

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Solution

The fourth proportional to 683.08, 1,019.06 and 560.97 is: 836.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.08 : 1,019.06 = 560.97 : x
  2. Step 2: Convert to fraction form
    683.08/1,019.06 = 560.97/x
  3. Step 3: Cross multiply
    683.08x = 1,019.06 × 560.97
  4. Step 4: Simplify right side
    683.08x = 571,662.09
  5. Step 5: Solve for x
    x = 571,662.09/683.08
  6. Step 6: Final answer
    x = 836.89

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.