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Finding the Fourth Proportional to 1,588.95, 2,382.75 and 493.20

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Solution

The fourth proportional to 1,588.95, 2,382.75 and 493.20 is: 739.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.95 : 2,382.75 = 493.20 : x
  2. Step 2: Convert to fraction form
    1,588.95/2,382.75 = 493.20/x
  3. Step 3: Cross multiply
    1,588.95x = 2,382.75 × 493.20
  4. Step 4: Simplify right side
    1,588.95x = 1,175,172.30
  5. Step 5: Solve for x
    x = 1,175,172.30/1,588.95
  6. Step 6: Final answer
    x = 739.59

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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.