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Finding the Fourth Proportional to 680.33, 1,014.53 and 674.16

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Solution

The fourth proportional to 680.33, 1,014.53 and 674.16 is: 1,005.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.33 : 1,014.53 = 674.16 : x
  2. Step 2: Convert to fraction form
    680.33/1,014.53 = 674.16/x
  3. Step 3: Cross multiply
    680.33x = 1,014.53 × 674.16
  4. Step 4: Simplify right side
    680.33x = 683,952.17
  5. Step 5: Solve for x
    x = 683,952.17/680.33
  6. Step 6: Final answer
    x = 1,005.33

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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.