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Finding the Fourth Proportional to 1,463.65, 2,194.20 and 683.49

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Solution

The fourth proportional to 1,463.65, 2,194.20 and 683.49 is: 1,024.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.65 : 2,194.20 = 683.49 : x
  2. Step 2: Convert to fraction form
    1,463.65/2,194.20 = 683.49/x
  3. Step 3: Cross multiply
    1,463.65x = 2,194.20 × 683.49
  4. Step 4: Simplify right side
    1,463.65x = 1,499,710.34
  5. Step 5: Solve for x
    x = 1,499,710.34/1,463.65
  6. Step 6: Final answer
    x = 1,024.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.