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Finding the Fourth Proportional to 1,444.16, 2,165.94 and 470.00

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Solution

The fourth proportional to 1,444.16, 2,165.94 and 470.00 is: 704.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.16 : 2,165.94 = 470.00 : x
  2. Step 2: Convert to fraction form
    1,444.16/2,165.94 = 470.00/x
  3. Step 3: Cross multiply
    1,444.16x = 2,165.94 × 470.00
  4. Step 4: Simplify right side
    1,444.16x = 1,017,997.21
  5. Step 5: Solve for x
    x = 1,017,997.21/1,444.16
  6. Step 6: Final answer
    x = 704.90

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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.