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Finding the Fourth Proportional to 1,084.30, 1,624.88 and 467.84

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Solution

The fourth proportional to 1,084.30, 1,624.88 and 467.84 is: 701.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,084.30 : 1,624.88 = 467.84 : x
  2. Step 2: Convert to fraction form
    1,084.30/1,624.88 = 467.84/x
  3. Step 3: Cross multiply
    1,084.30x = 1,624.88 × 467.84
  4. Step 4: Simplify right side
    1,084.30x = 760,183.86
  5. Step 5: Solve for x
    x = 760,183.86/1,084.30
  6. Step 6: Final answer
    x = 701.08

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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.