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Finding the Fourth Proportional to 991.99, 1,488.02 and 553.00

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Solution

The fourth proportional to 991.99, 1,488.02 and 553.00 is: 829.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.99 : 1,488.02 = 553.00 : x
  2. Step 2: Convert to fraction form
    991.99/1,488.02 = 553.00/x
  3. Step 3: Cross multiply
    991.99x = 1,488.02 × 553.00
  4. Step 4: Simplify right side
    991.99x = 822,870.05
  5. Step 5: Solve for x
    x = 822,870.05/991.99
  6. Step 6: Final answer
    x = 829.51

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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.