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Finding the Fourth Proportional to 1,102.38, 1,653.82 and 322.40

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Solution

The fourth proportional to 1,102.38, 1,653.82 and 322.40 is: 483.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.38 : 1,653.82 = 322.40 : x
  2. Step 2: Convert to fraction form
    1,102.38/1,653.82 = 322.40/x
  3. Step 3: Cross multiply
    1,102.38x = 1,653.82 × 322.40
  4. Step 4: Simplify right side
    1,102.38x = 533,191.57
  5. Step 5: Solve for x
    x = 533,191.57/1,102.38
  6. Step 6: Final answer
    x = 483.67

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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.