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Finding the Fourth Proportional to 1,624.77, 2,436.84 and 470.25

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Solution

The fourth proportional to 1,624.77, 2,436.84 and 470.25 is: 705.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,624.77 : 2,436.84 = 470.25 : x
  2. Step 2: Convert to fraction form
    1,624.77/2,436.84 = 470.25/x
  3. Step 3: Cross multiply
    1,624.77x = 2,436.84 × 470.25
  4. Step 4: Simplify right side
    1,624.77x = 1,145,924.01
  5. Step 5: Solve for x
    x = 1,145,924.01/1,624.77
  6. Step 6: Final answer
    x = 705.28

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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.