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Finding the Fourth Proportional to 1,326.89, 1,990.31 and 353.00

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Solution

The fourth proportional to 1,326.89, 1,990.31 and 353.00 is: 529.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.89 : 1,990.31 = 353.00 : x
  2. Step 2: Convert to fraction form
    1,326.89/1,990.31 = 353.00/x
  3. Step 3: Cross multiply
    1,326.89x = 1,990.31 × 353.00
  4. Step 4: Simplify right side
    1,326.89x = 702,582.64
  5. Step 5: Solve for x
    x = 702,582.64/1,326.89
  6. Step 6: Final answer
    x = 529.49

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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.