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Finding the Fourth Proportional to 988.61, 1,482.40 and 494.48

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Solution

The fourth proportional to 988.61, 1,482.40 and 494.48 is: 741.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.61 : 1,482.40 = 494.48 : x
  2. Step 2: Convert to fraction form
    988.61/1,482.40 = 494.48/x
  3. Step 3: Cross multiply
    988.61x = 1,482.40 × 494.48
  4. Step 4: Simplify right side
    988.61x = 733,017.15
  5. Step 5: Solve for x
    x = 733,017.15/988.61
  6. Step 6: Final answer
    x = 741.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.