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Finding the Fourth Proportional to 1,104.34, 1,656.52 and 282.62

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Solution

The fourth proportional to 1,104.34, 1,656.52 and 282.62 is: 423.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.34 : 1,656.52 = 282.62 : x
  2. Step 2: Convert to fraction form
    1,104.34/1,656.52 = 282.62/x
  3. Step 3: Cross multiply
    1,104.34x = 1,656.52 × 282.62
  4. Step 4: Simplify right side
    1,104.34x = 468,155.99
  5. Step 5: Solve for x
    x = 468,155.99/1,104.34
  6. Step 6: Final answer
    x = 423.92

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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.