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Finding the Fourth Proportional to 1,444.38, 2,166.57 and 470.58

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Solution

The fourth proportional to 1,444.38, 2,166.57 and 470.58 is: 705.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.38 : 2,166.57 = 470.58 : x
  2. Step 2: Convert to fraction form
    1,444.38/2,166.57 = 470.58/x
  3. Step 3: Cross multiply
    1,444.38x = 2,166.57 × 470.58
  4. Step 4: Simplify right side
    1,444.38x = 1,019,544.51
  5. Step 5: Solve for x
    x = 1,019,544.51/1,444.38
  6. Step 6: Final answer
    x = 705.87

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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.