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Finding the Fourth Proportional to 955.98, 1,432.08 and 467.58

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Solution

The fourth proportional to 955.98, 1,432.08 and 467.58 is: 700.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.98 : 1,432.08 = 467.58 : x
  2. Step 2: Convert to fraction form
    955.98/1,432.08 = 467.58/x
  3. Step 3: Cross multiply
    955.98x = 1,432.08 × 467.58
  4. Step 4: Simplify right side
    955.98x = 669,611.97
  5. Step 5: Solve for x
    x = 669,611.97/955.98
  6. Step 6: Final answer
    x = 700.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.