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Finding the Fourth Proportional to 988.36, 1,482.02 and 494.23

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Solution

The fourth proportional to 988.36, 1,482.02 and 494.23 is: 741.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.36 : 1,482.02 = 494.23 : x
  2. Step 2: Convert to fraction form
    988.36/1,482.02 = 494.23/x
  3. Step 3: Cross multiply
    988.36x = 1,482.02 × 494.23
  4. Step 4: Simplify right side
    988.36x = 732,458.74
  5. Step 5: Solve for x
    x = 732,458.74/988.36
  6. Step 6: Final answer
    x = 741.08

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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.