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Finding the Fourth Proportional to 989.89, 1,483.86 and 468.98

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Solution

The fourth proportional to 989.89, 1,483.86 and 468.98 is: 703.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.89 : 1,483.86 = 468.98 : x
  2. Step 2: Convert to fraction form
    989.89/1,483.86 = 468.98/x
  3. Step 3: Cross multiply
    989.89x = 1,483.86 × 468.98
  4. Step 4: Simplify right side
    989.89x = 695,896.95
  5. Step 5: Solve for x
    x = 695,896.95/989.89
  6. Step 6: Final answer
    x = 703.00

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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.