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Finding the Fourth Proportional to 1,588.41, 2,381.76 and 492.48

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Solution

The fourth proportional to 1,588.41, 2,381.76 and 492.48 is: 738.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.41 : 2,381.76 = 492.48 : x
  2. Step 2: Convert to fraction form
    1,588.41/2,381.76 = 492.48/x
  3. Step 3: Cross multiply
    1,588.41x = 2,381.76 × 492.48
  4. Step 4: Simplify right side
    1,588.41x = 1,172,969.16
  5. Step 5: Solve for x
    x = 1,172,969.16/1,588.41
  6. Step 6: Final answer
    x = 738.45

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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.