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Finding the Fourth Proportional to 992.92, 1,488.93 and 582.16

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Solution

The fourth proportional to 992.92, 1,488.93 and 582.16 is: 872.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.92 : 1,488.93 = 582.16 : x
  2. Step 2: Convert to fraction form
    992.92/1,488.93 = 582.16/x
  3. Step 3: Cross multiply
    992.92x = 1,488.93 × 582.16
  4. Step 4: Simplify right side
    992.92x = 866,795.49
  5. Step 5: Solve for x
    x = 866,795.49/992.92
  6. Step 6: Final answer
    x = 872.98

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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.