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Finding the Fourth Proportional to 994.88, 1,492.74 and 532.53

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Solution

The fourth proportional to 994.88, 1,492.74 and 532.53 is: 799.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.88 : 1,492.74 = 532.53 : x
  2. Step 2: Convert to fraction form
    994.88/1,492.74 = 532.53/x
  3. Step 3: Cross multiply
    994.88x = 1,492.74 × 532.53
  4. Step 4: Simplify right side
    994.88x = 794,928.83
  5. Step 5: Solve for x
    x = 794,928.83/994.88
  6. Step 6: Final answer
    x = 799.02

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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.