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Finding the Fourth Proportional to 1,464.34, 2,020.59 and 874.75

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Solution

The fourth proportional to 1,464.34, 2,020.59 and 874.75 is: 1,207.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.34 : 2,020.59 = 874.75 : x
  2. Step 2: Convert to fraction form
    1,464.34/2,020.59 = 874.75/x
  3. Step 3: Cross multiply
    1,464.34x = 2,020.59 × 874.75
  4. Step 4: Simplify right side
    1,464.34x = 1,767,511.10
  5. Step 5: Solve for x
    x = 1,767,511.10/1,464.34
  6. Step 6: Final answer
    x = 1,207.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.