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Finding the Fourth Proportional to 1,584.61, 2,376.96 and 597.31

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Solution

The fourth proportional to 1,584.61, 2,376.96 and 597.31 is: 895.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.61 : 2,376.96 = 597.31 : x
  2. Step 2: Convert to fraction form
    1,584.61/2,376.96 = 597.31/x
  3. Step 3: Cross multiply
    1,584.61x = 2,376.96 × 597.31
  4. Step 4: Simplify right side
    1,584.61x = 1,419,781.98
  5. Step 5: Solve for x
    x = 1,419,781.98/1,584.61
  6. Step 6: Final answer
    x = 895.98

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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.