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Finding the Fourth Proportional to 1,348, 2,022.95 and 482.34

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Solution

The fourth proportional to 1,348, 2,022.95 and 482.34 is: 723.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348 : 2,022.95 = 482.34 : x
  2. Step 2: Convert to fraction form
    1,348/2,022.95 = 482.34/x
  3. Step 3: Cross multiply
    1,348x = 2,022.95 × 482.34
  4. Step 4: Simplify right side
    1,348x = 975,737.18
  5. Step 5: Solve for x
    x = 975,737.18/1,348
  6. Step 6: Final answer
    x = 723.84

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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.