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Finding the Fourth Proportional to 1,623.96, 2,435.27 and 583.65

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Solution

The fourth proportional to 1,623.96, 2,435.27 and 583.65 is: 875.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.96 : 2,435.27 = 583.65 : x
  2. Step 2: Convert to fraction form
    1,623.96/2,435.27 = 583.65/x
  3. Step 3: Cross multiply
    1,623.96x = 2,435.27 × 583.65
  4. Step 4: Simplify right side
    1,623.96x = 1,421,342.42
  5. Step 5: Solve for x
    x = 1,421,342.42/1,623.96
  6. Step 6: Final answer
    x = 875.23

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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.