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Finding the Fourth Proportional to 1,265.06, 1,897.89 and 443.42

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Solution

The fourth proportional to 1,265.06, 1,897.89 and 443.42 is: 665.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.06 : 1,897.89 = 443.42 : x
  2. Step 2: Convert to fraction form
    1,265.06/1,897.89 = 443.42/x
  3. Step 3: Cross multiply
    1,265.06x = 1,897.89 × 443.42
  4. Step 4: Simplify right side
    1,265.06x = 841,552.89
  5. Step 5: Solve for x
    x = 841,552.89/1,265.06
  6. Step 6: Final answer
    x = 665.23

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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.