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Finding the Fourth Proportional to 1,342.95, 2,014.03 and 465.42

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Solution

The fourth proportional to 1,342.95, 2,014.03 and 465.42 is: 697.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.95 : 2,014.03 = 465.42 : x
  2. Step 2: Convert to fraction form
    1,342.95/2,014.03 = 465.42/x
  3. Step 3: Cross multiply
    1,342.95x = 2,014.03 × 465.42
  4. Step 4: Simplify right side
    1,342.95x = 937,360.94
  5. Step 5: Solve for x
    x = 937,360.94/1,342.95
  6. Step 6: Final answer
    x = 697.99

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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.