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Finding the Fourth Proportional to 1,021.83, 1,534.77 and 990.78

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Solution

The fourth proportional to 1,021.83, 1,534.77 and 990.78 is: 1,488.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.83 : 1,534.77 = 990.78 : x
  2. Step 2: Convert to fraction form
    1,021.83/1,534.77 = 990.78/x
  3. Step 3: Cross multiply
    1,021.83x = 1,534.77 × 990.78
  4. Step 4: Simplify right side
    1,021.83x = 1,520,619.42
  5. Step 5: Solve for x
    x = 1,520,619.42/1,021.83
  6. Step 6: Final answer
    x = 1,488.13

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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.