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Finding the Fourth Proportional to 992.32, 1,488.53 and 376.11

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Solution

The fourth proportional to 992.32, 1,488.53 and 376.11 is: 564.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.32 : 1,488.53 = 376.11 : x
  2. Step 2: Convert to fraction form
    992.32/1,488.53 = 376.11/x
  3. Step 3: Cross multiply
    992.32x = 1,488.53 × 376.11
  4. Step 4: Simplify right side
    992.32x = 559,849.84
  5. Step 5: Solve for x
    x = 559,849.84/992.32
  6. Step 6: Final answer
    x = 564.18

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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.