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Finding the Fourth Proportional to 1,584.42, 2,376.67 and 488.79

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Solution

The fourth proportional to 1,584.42, 2,376.67 and 488.79 is: 733.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.42 : 2,376.67 = 488.79 : x
  2. Step 2: Convert to fraction form
    1,584.42/2,376.67 = 488.79/x
  3. Step 3: Cross multiply
    1,584.42x = 2,376.67 × 488.79
  4. Step 4: Simplify right side
    1,584.42x = 1,161,678.20
  5. Step 5: Solve for x
    x = 1,161,678.20/1,584.42
  6. Step 6: Final answer
    x = 733.19

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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.