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Finding the Fourth Proportional to 1,262.72, 1,894.32 and 397.04

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Solution

The fourth proportional to 1,262.72, 1,894.32 and 397.04 is: 595.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.72 : 1,894.32 = 397.04 : x
  2. Step 2: Convert to fraction form
    1,262.72/1,894.32 = 397.04/x
  3. Step 3: Cross multiply
    1,262.72x = 1,894.32 × 397.04
  4. Step 4: Simplify right side
    1,262.72x = 752,120.81
  5. Step 5: Solve for x
    x = 752,120.81/1,262.72
  6. Step 6: Final answer
    x = 595.64

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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.