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Finding the Fourth Proportional to 1,404.07, 2,106.33 and 624.34

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Solution

The fourth proportional to 1,404.07, 2,106.33 and 624.34 is: 936.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.07 : 2,106.33 = 624.34 : x
  2. Step 2: Convert to fraction form
    1,404.07/2,106.33 = 624.34/x
  3. Step 3: Cross multiply
    1,404.07x = 2,106.33 × 624.34
  4. Step 4: Simplify right side
    1,404.07x = 1,315,060.81
  5. Step 5: Solve for x
    x = 1,315,060.81/1,404.07
  6. Step 6: Final answer
    x = 936.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.