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Finding the Fourth Proportional to 962.77, 1,444.46 and 377.75

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Solution

The fourth proportional to 962.77, 1,444.46 and 377.75 is: 566.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.77 : 1,444.46 = 377.75 : x
  2. Step 2: Convert to fraction form
    962.77/1,444.46 = 377.75/x
  3. Step 3: Cross multiply
    962.77x = 1,444.46 × 377.75
  4. Step 4: Simplify right side
    962.77x = 545,644.77
  5. Step 5: Solve for x
    x = 545,644.77/962.77
  6. Step 6: Final answer
    x = 566.74

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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.