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Finding the Fourth Proportional to 992.70, 1,490.68 and 775.62

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Solution

The fourth proportional to 992.70, 1,490.68 and 775.62 is: 1,164.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.70 : 1,490.68 = 775.62 : x
  2. Step 2: Convert to fraction form
    992.70/1,490.68 = 775.62/x
  3. Step 3: Cross multiply
    992.70x = 1,490.68 × 775.62
  4. Step 4: Simplify right side
    992.70x = 1,156,201.22
  5. Step 5: Solve for x
    x = 1,156,201.22/992.70
  6. Step 6: Final answer
    x = 1,164.70

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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.