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Finding the Fourth Proportional to 1,587.99, 2,381.98 and 492.33

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Solution

The fourth proportional to 1,587.99, 2,381.98 and 492.33 is: 738.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.99 : 2,381.98 = 492.33 : x
  2. Step 2: Convert to fraction form
    1,587.99/2,381.98 = 492.33/x
  3. Step 3: Cross multiply
    1,587.99x = 2,381.98 × 492.33
  4. Step 4: Simplify right side
    1,587.99x = 1,172,720.21
  5. Step 5: Solve for x
    x = 1,172,720.21/1,587.99
  6. Step 6: Final answer
    x = 738.49

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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.