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Finding the Fourth Proportional to 1,263.03, 1,894.74 and 397.14

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Solution

The fourth proportional to 1,263.03, 1,894.74 and 397.14 is: 595.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263.03 : 1,894.74 = 397.14 : x
  2. Step 2: Convert to fraction form
    1,263.03/1,894.74 = 397.14/x
  3. Step 3: Cross multiply
    1,263.03x = 1,894.74 × 397.14
  4. Step 4: Simplify right side
    1,263.03x = 752,477.04
  5. Step 5: Solve for x
    x = 752,477.04/1,263.03
  6. Step 6: Final answer
    x = 595.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.