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Finding the Fourth Proportional to 989.40, 1,482.76 and 469.32

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Solution

The fourth proportional to 989.40, 1,482.76 and 469.32 is: 703.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.40 : 1,482.76 = 469.32 : x
  2. Step 2: Convert to fraction form
    989.40/1,482.76 = 469.32/x
  3. Step 3: Cross multiply
    989.40x = 1,482.76 × 469.32
  4. Step 4: Simplify right side
    989.40x = 695,888.92
  5. Step 5: Solve for x
    x = 695,888.92/989.40
  6. Step 6: Final answer
    x = 703.34

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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.