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Finding the Fourth Proportional to 1,265.42, 1,897.34 and 443.77

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Solution

The fourth proportional to 1,265.42, 1,897.34 and 443.77 is: 665.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.42 : 1,897.34 = 443.77 : x
  2. Step 2: Convert to fraction form
    1,265.42/1,897.34 = 443.77/x
  3. Step 3: Cross multiply
    1,265.42x = 1,897.34 × 443.77
  4. Step 4: Simplify right side
    1,265.42x = 841,975.61
  5. Step 5: Solve for x
    x = 841,975.61/1,265.42
  6. Step 6: Final answer
    x = 665.38

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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.