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Finding the Fourth Proportional to 1,444, 2,165.96 and 470.32

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Solution

The fourth proportional to 1,444, 2,165.96 and 470.32 is: 705.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444 : 2,165.96 = 470.32 : x
  2. Step 2: Convert to fraction form
    1,444/2,165.96 = 470.32/x
  3. Step 3: Cross multiply
    1,444x = 2,165.96 × 470.32
  4. Step 4: Simplify right side
    1,444x = 1,018,694.31
  5. Step 5: Solve for x
    x = 1,018,694.31/1,444
  6. Step 6: Final answer
    x = 705.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.