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Finding the Fourth Proportional to 989.92, 1,483.90 and 469

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Solution

The fourth proportional to 989.92, 1,483.90 and 469 is: 703.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.92 : 1,483.90 = 469 : x
  2. Step 2: Convert to fraction form
    989.92/1,483.90 = 469/x
  3. Step 3: Cross multiply
    989.92x = 1,483.90 × 469
  4. Step 4: Simplify right side
    989.92x = 695,949.10
  5. Step 5: Solve for x
    x = 695,949.10/989.92
  6. Step 6: Final answer
    x = 703.04

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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.