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Finding the Fourth Proportional to 992.46, 1,488.76 and 262.04

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Solution

The fourth proportional to 992.46, 1,488.76 and 262.04 is: 393.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.46 : 1,488.76 = 262.04 : x
  2. Step 2: Convert to fraction form
    992.46/1,488.76 = 262.04/x
  3. Step 3: Cross multiply
    992.46x = 1,488.76 × 262.04
  4. Step 4: Simplify right side
    992.46x = 390,114.67
  5. Step 5: Solve for x
    x = 390,114.67/992.46
  6. Step 6: Final answer
    x = 393.08

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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.