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Finding the Fourth Proportional to 962.78, 1,444.86 and 385.64

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Solution

The fourth proportional to 962.78, 1,444.86 and 385.64 is: 578.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.78 : 1,444.86 = 385.64 : x
  2. Step 2: Convert to fraction form
    962.78/1,444.86 = 385.64/x
  3. Step 3: Cross multiply
    962.78x = 1,444.86 × 385.64
  4. Step 4: Simplify right side
    962.78x = 557,195.81
  5. Step 5: Solve for x
    x = 557,195.81/962.78
  6. Step 6: Final answer
    x = 578.74

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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.