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Finding the Fourth Proportional to 988.35, 1,484.95 and 744.13

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Solution

The fourth proportional to 988.35, 1,484.95 and 744.13 is: 1,118.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.35 : 1,484.95 = 744.13 : x
  2. Step 2: Convert to fraction form
    988.35/1,484.95 = 744.13/x
  3. Step 3: Cross multiply
    988.35x = 1,484.95 × 744.13
  4. Step 4: Simplify right side
    988.35x = 1,104,995.84
  5. Step 5: Solve for x
    x = 1,104,995.84/988.35
  6. Step 6: Final answer
    x = 1,118.03

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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.