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Finding the Fourth Proportional to 1,444.08, 2,165.36 and 470.06

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Solution

The fourth proportional to 1,444.08, 2,165.36 and 470.06 is: 704.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.08 : 2,165.36 = 470.06 : x
  2. Step 2: Convert to fraction form
    1,444.08/2,165.36 = 470.06/x
  3. Step 3: Cross multiply
    1,444.08x = 2,165.36 × 470.06
  4. Step 4: Simplify right side
    1,444.08x = 1,017,849.12
  5. Step 5: Solve for x
    x = 1,017,849.12/1,444.08
  6. Step 6: Final answer
    x = 704.84

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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.