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Finding the Fourth Proportional to 989.13, 1,483.72 and 469.01

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Solution

The fourth proportional to 989.13, 1,483.72 and 469.01 is: 703.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.13 : 1,483.72 = 469.01 : x
  2. Step 2: Convert to fraction form
    989.13/1,483.72 = 469.01/x
  3. Step 3: Cross multiply
    989.13x = 1,483.72 × 469.01
  4. Step 4: Simplify right side
    989.13x = 695,882.05
  5. Step 5: Solve for x
    x = 695,882.05/989.13
  6. Step 6: Final answer
    x = 703.53

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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.