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Finding the Fourth Proportional to 1,264.46, 1,897.12 and 771.85

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Solution

The fourth proportional to 1,264.46, 1,897.12 and 771.85 is: 1,158.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.46 : 1,897.12 = 771.85 : x
  2. Step 2: Convert to fraction form
    1,264.46/1,897.12 = 771.85/x
  3. Step 3: Cross multiply
    1,264.46x = 1,897.12 × 771.85
  4. Step 4: Simplify right side
    1,264.46x = 1,464,292.07
  5. Step 5: Solve for x
    x = 1,464,292.07/1,264.46
  6. Step 6: Final answer
    x = 1,158.04

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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.