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Finding the Fourth Proportional to 994.38, 1,492.44 and 507.69

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Solution

The fourth proportional to 994.38, 1,492.44 and 507.69 is: 761.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.38 : 1,492.44 = 507.69 : x
  2. Step 2: Convert to fraction form
    994.38/1,492.44 = 507.69/x
  3. Step 3: Cross multiply
    994.38x = 1,492.44 × 507.69
  4. Step 4: Simplify right side
    994.38x = 757,696.86
  5. Step 5: Solve for x
    x = 757,696.86/994.38
  6. Step 6: Final answer
    x = 761.98

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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.