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Finding the Fourth Proportional to 1,588.42, 2,382.60 and 492.66

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Solution

The fourth proportional to 1,588.42, 2,382.60 and 492.66 is: 738.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.42 : 2,382.60 = 492.66 : x
  2. Step 2: Convert to fraction form
    1,588.42/2,382.60 = 492.66/x
  3. Step 3: Cross multiply
    1,588.42x = 2,382.60 × 492.66
  4. Step 4: Simplify right side
    1,588.42x = 1,173,811.72
  5. Step 5: Solve for x
    x = 1,173,811.72/1,588.42
  6. Step 6: Final answer
    x = 738.98

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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.