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Finding the Fourth Proportional to 1,083.70, 1,495.67 and 685.69

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Solution

The fourth proportional to 1,083.70, 1,495.67 and 685.69 is: 946.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.70 : 1,495.67 = 685.69 : x
  2. Step 2: Convert to fraction form
    1,083.70/1,495.67 = 685.69/x
  3. Step 3: Cross multiply
    1,083.70x = 1,495.67 × 685.69
  4. Step 4: Simplify right side
    1,083.70x = 1,025,565.96
  5. Step 5: Solve for x
    x = 1,025,565.96/1,083.70
  6. Step 6: Final answer
    x = 946.36

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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.