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Finding the Fourth Proportional to 992.42, 1,488.68 and 262.02

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Solution

The fourth proportional to 992.42, 1,488.68 and 262.02 is: 393.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.42 : 1,488.68 = 262.02 : x
  2. Step 2: Convert to fraction form
    992.42/1,488.68 = 262.02/x
  3. Step 3: Cross multiply
    992.42x = 1,488.68 × 262.02
  4. Step 4: Simplify right side
    992.42x = 390,063.93
  5. Step 5: Solve for x
    x = 390,063.93/992.42
  6. Step 6: Final answer
    x = 393.04

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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.