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Finding the Fourth Proportional to 1,326.34, 1,989.69 and 460.54

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Solution

The fourth proportional to 1,326.34, 1,989.69 and 460.54 is: 690.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.34 : 1,989.69 = 460.54 : x
  2. Step 2: Convert to fraction form
    1,326.34/1,989.69 = 460.54/x
  3. Step 3: Cross multiply
    1,326.34x = 1,989.69 × 460.54
  4. Step 4: Simplify right side
    1,326.34x = 916,331.83
  5. Step 5: Solve for x
    x = 916,331.83/1,326.34
  6. Step 6: Final answer
    x = 690.87

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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.