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Finding the Fourth Proportional to 1,404.41, 2,106.68 and 583.07

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Solution

The fourth proportional to 1,404.41, 2,106.68 and 583.07 is: 874.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.41 : 2,106.68 = 583.07 : x
  2. Step 2: Convert to fraction form
    1,404.41/2,106.68 = 583.07/x
  3. Step 3: Cross multiply
    1,404.41x = 2,106.68 × 583.07
  4. Step 4: Simplify right side
    1,404.41x = 1,228,328.46
  5. Step 5: Solve for x
    x = 1,228,328.46/1,404.41
  6. Step 6: Final answer
    x = 874.63

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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.