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Finding the Fourth Proportional to 1,404.07, 2,106.10 and 623.87

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Solution

The fourth proportional to 1,404.07, 2,106.10 and 623.87 is: 935.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.07 : 2,106.10 = 623.87 : x
  2. Step 2: Convert to fraction form
    1,404.07/2,106.10 = 623.87/x
  3. Step 3: Cross multiply
    1,404.07x = 2,106.10 × 623.87
  4. Step 4: Simplify right side
    1,404.07x = 1,313,930.75
  5. Step 5: Solve for x
    x = 1,313,930.75/1,404.07
  6. Step 6: Final answer
    x = 935.80

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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.