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Finding the Fourth Proportional to 1,074.10, 1,611.35 and 424.84

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Solution

The fourth proportional to 1,074.10, 1,611.35 and 424.84 is: 637.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.10 : 1,611.35 = 424.84 : x
  2. Step 2: Convert to fraction form
    1,074.10/1,611.35 = 424.84/x
  3. Step 3: Cross multiply
    1,074.10x = 1,611.35 × 424.84
  4. Step 4: Simplify right side
    1,074.10x = 684,565.93
  5. Step 5: Solve for x
    x = 684,565.93/1,074.10
  6. Step 6: Final answer
    x = 637.34

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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.