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Finding the Fourth Proportional to 1,295.19, 1,942.98 and 462.19

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Solution

The fourth proportional to 1,295.19, 1,942.98 and 462.19 is: 693.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.19 : 1,942.98 = 462.19 : x
  2. Step 2: Convert to fraction form
    1,295.19/1,942.98 = 462.19/x
  3. Step 3: Cross multiply
    1,295.19x = 1,942.98 × 462.19
  4. Step 4: Simplify right side
    1,295.19x = 898,025.35
  5. Step 5: Solve for x
    x = 898,025.35/1,295.19
  6. Step 6: Final answer
    x = 693.35

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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.