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Finding the Fourth Proportional to 1,265.42, 1,894.88 and 1,071.02

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Solution

The fourth proportional to 1,265.42, 1,894.88 and 1,071.02 is: 1,603.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.42 : 1,894.88 = 1,071.02 : x
  2. Step 2: Convert to fraction form
    1,265.42/1,894.88 = 1,071.02/x
  3. Step 3: Cross multiply
    1,265.42x = 1,894.88 × 1,071.02
  4. Step 4: Simplify right side
    1,265.42x = 2,029,454.38
  5. Step 5: Solve for x
    x = 2,029,454.38/1,265.42
  6. Step 6: Final answer
    x = 1,603.78

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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.