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Finding the Fourth Proportional to 1,463.40, 2,019.54 and 834.02

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Solution

The fourth proportional to 1,463.40, 2,019.54 and 834.02 is: 1,150.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.40 : 2,019.54 = 834.02 : x
  2. Step 2: Convert to fraction form
    1,463.40/2,019.54 = 834.02/x
  3. Step 3: Cross multiply
    1,463.40x = 2,019.54 × 834.02
  4. Step 4: Simplify right side
    1,463.40x = 1,684,343.03
  5. Step 5: Solve for x
    x = 1,684,343.03/1,463.40
  6. Step 6: Final answer
    x = 1,150.98

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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.