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Finding the Fourth Proportional to 1,216.34, 1,678.26 and 685.13

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Solution

The fourth proportional to 1,216.34, 1,678.26 and 685.13 is: 945.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.34 : 1,678.26 = 685.13 : x
  2. Step 2: Convert to fraction form
    1,216.34/1,678.26 = 685.13/x
  3. Step 3: Cross multiply
    1,216.34x = 1,678.26 × 685.13
  4. Step 4: Simplify right side
    1,216.34x = 1,149,816.60
  5. Step 5: Solve for x
    x = 1,149,816.60/1,216.34
  6. Step 6: Final answer
    x = 945.31

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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.