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Finding the Fourth Proportional to 1,154.81, 1,732.06 and 321.93

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Solution

The fourth proportional to 1,154.81, 1,732.06 and 321.93 is: 482.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.81 : 1,732.06 = 321.93 : x
  2. Step 2: Convert to fraction form
    1,154.81/1,732.06 = 321.93/x
  3. Step 3: Cross multiply
    1,154.81x = 1,732.06 × 321.93
  4. Step 4: Simplify right side
    1,154.81x = 557,602.48
  5. Step 5: Solve for x
    x = 557,602.48/1,154.81
  6. Step 6: Final answer
    x = 482.85

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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.