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Finding the Fourth Proportional to 990.93, 1,486.70 and 341.61

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Solution

The fourth proportional to 990.93, 1,486.70 and 341.61 is: 512.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.93 : 1,486.70 = 341.61 : x
  2. Step 2: Convert to fraction form
    990.93/1,486.70 = 341.61/x
  3. Step 3: Cross multiply
    990.93x = 1,486.70 × 341.61
  4. Step 4: Simplify right side
    990.93x = 507,869.88
  5. Step 5: Solve for x
    x = 507,869.88/990.93
  6. Step 6: Final answer
    x = 512.52

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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.