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Finding the Fourth Proportional to 1,326.58, 1,990.07 and 460.69

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Solution

The fourth proportional to 1,326.58, 1,990.07 and 460.69 is: 691.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.58 : 1,990.07 = 460.69 : x
  2. Step 2: Convert to fraction form
    1,326.58/1,990.07 = 460.69/x
  3. Step 3: Cross multiply
    1,326.58x = 1,990.07 × 460.69
  4. Step 4: Simplify right side
    1,326.58x = 916,799.80
  5. Step 5: Solve for x
    x = 916,799.80/1,326.58
  6. Step 6: Final answer
    x = 691.10

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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.