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Finding the Fourth Proportional to 1,228.70, 1,842.98 and 498.34

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Solution

The fourth proportional to 1,228.70, 1,842.98 and 498.34 is: 747.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.70 : 1,842.98 = 498.34 : x
  2. Step 2: Convert to fraction form
    1,228.70/1,842.98 = 498.34/x
  3. Step 3: Cross multiply
    1,228.70x = 1,842.98 × 498.34
  4. Step 4: Simplify right side
    1,228.70x = 918,423.55
  5. Step 5: Solve for x
    x = 918,423.55/1,228.70
  6. Step 6: Final answer
    x = 747.47

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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.