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Finding the Fourth Proportional to 1,228.55, 1,842.45 and 535.05

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Solution

The fourth proportional to 1,228.55, 1,842.45 and 535.05 is: 802.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.55 : 1,842.45 = 535.05 : x
  2. Step 2: Convert to fraction form
    1,228.55/1,842.45 = 535.05/x
  3. Step 3: Cross multiply
    1,228.55x = 1,842.45 × 535.05
  4. Step 4: Simplify right side
    1,228.55x = 985,802.87
  5. Step 5: Solve for x
    x = 985,802.87/1,228.55
  6. Step 6: Final answer
    x = 802.41

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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.