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Finding the Fourth Proportional to 1,106.01, 1,658.44 and 325.91

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Solution

The fourth proportional to 1,106.01, 1,658.44 and 325.91 is: 488.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,106.01 : 1,658.44 = 325.91 : x
  2. Step 2: Convert to fraction form
    1,106.01/1,658.44 = 325.91/x
  3. Step 3: Cross multiply
    1,106.01x = 1,658.44 × 325.91
  4. Step 4: Simplify right side
    1,106.01x = 540,497.22
  5. Step 5: Solve for x
    x = 540,497.22/1,106.01
  6. Step 6: Final answer
    x = 488.69

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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.