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Finding the Fourth Proportional to 989.84, 1,484.63 and 259.47

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Solution

The fourth proportional to 989.84, 1,484.63 and 259.47 is: 389.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.84 : 1,484.63 = 259.47 : x
  2. Step 2: Convert to fraction form
    989.84/1,484.63 = 259.47/x
  3. Step 3: Cross multiply
    989.84x = 1,484.63 × 259.47
  4. Step 4: Simplify right side
    989.84x = 385,215.65
  5. Step 5: Solve for x
    x = 385,215.65/989.84
  6. Step 6: Final answer
    x = 389.17

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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.