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Finding the Fourth Proportional to 1,463.34, 2,019.35 and 833.90

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Solution

The fourth proportional to 1,463.34, 2,019.35 and 833.90 is: 1,150.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463.34 : 2,019.35 = 833.90 : x
  2. Step 2: Convert to fraction form
    1,463.34/2,019.35 = 833.90/x
  3. Step 3: Cross multiply
    1,463.34x = 2,019.35 × 833.90
  4. Step 4: Simplify right side
    1,463.34x = 1,683,943.10
  5. Step 5: Solve for x
    x = 1,683,943.10/1,463.34
  6. Step 6: Final answer
    x = 1,150.75

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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.