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Finding the Fourth Proportional to 1,265.43, 1,897.87 and 387.74

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Solution

The fourth proportional to 1,265.43, 1,897.87 and 387.74 is: 581.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.43 : 1,897.87 = 387.74 : x
  2. Step 2: Convert to fraction form
    1,265.43/1,897.87 = 387.74/x
  3. Step 3: Cross multiply
    1,265.43x = 1,897.87 × 387.74
  4. Step 4: Simplify right side
    1,265.43x = 735,880.11
  5. Step 5: Solve for x
    x = 735,880.11/1,265.43
  6. Step 6: Final answer
    x = 581.53

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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.