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Finding the Fourth Proportional to 1,148.67, 1,723.10 and 326.93

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Solution

The fourth proportional to 1,148.67, 1,723.10 and 326.93 is: 490.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.67 : 1,723.10 = 326.93 : x
  2. Step 2: Convert to fraction form
    1,148.67/1,723.10 = 326.93/x
  3. Step 3: Cross multiply
    1,148.67x = 1,723.10 × 326.93
  4. Step 4: Simplify right side
    1,148.67x = 563,322.83
  5. Step 5: Solve for x
    x = 563,322.83/1,148.67
  6. Step 6: Final answer
    x = 490.41

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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.