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Finding the Fourth Proportional to 1,263.02, 1,894.64 and 397.34

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Solution

The fourth proportional to 1,263.02, 1,894.64 and 397.34 is: 596.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.02 : 1,894.64 = 397.34 : x
  2. Step 2: Convert to fraction form
    1,263.02/1,894.64 = 397.34/x
  3. Step 3: Cross multiply
    1,263.02x = 1,894.64 × 397.34
  4. Step 4: Simplify right side
    1,263.02x = 752,816.26
  5. Step 5: Solve for x
    x = 752,816.26/1,263.02
  6. Step 6: Final answer
    x = 596.04

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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.