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Finding the Fourth Proportional to 962.50, 1,443.62 and 377.10

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Solution

The fourth proportional to 962.50, 1,443.62 and 377.10 is: 565.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.50 : 1,443.62 = 377.10 : x
  2. Step 2: Convert to fraction form
    962.50/1,443.62 = 377.10/x
  3. Step 3: Cross multiply
    962.50x = 1,443.62 × 377.10
  4. Step 4: Simplify right side
    962.50x = 544,390.04
  5. Step 5: Solve for x
    x = 544,390.04/962.50
  6. Step 6: Final answer
    x = 565.60

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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.