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Finding the Fourth Proportional to 1,102.22, 1,653.08 and 322.06

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Solution

The fourth proportional to 1,102.22, 1,653.08 and 322.06 is: 483.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.22 : 1,653.08 = 322.06 : x
  2. Step 2: Convert to fraction form
    1,102.22/1,653.08 = 322.06/x
  3. Step 3: Cross multiply
    1,102.22x = 1,653.08 × 322.06
  4. Step 4: Simplify right side
    1,102.22x = 532,390.94
  5. Step 5: Solve for x
    x = 532,390.94/1,102.22
  6. Step 6: Final answer
    x = 483.02

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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.