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Finding the Fourth Proportional to 1,464.56, 2,021.16 and 875.72

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Solution

The fourth proportional to 1,464.56, 2,021.16 and 875.72 is: 1,208.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464.56 : 2,021.16 = 875.72 : x
  2. Step 2: Convert to fraction form
    1,464.56/2,021.16 = 875.72/x
  3. Step 3: Cross multiply
    1,464.56x = 2,021.16 × 875.72
  4. Step 4: Simplify right side
    1,464.56x = 1,769,970.24
  5. Step 5: Solve for x
    x = 1,769,970.24/1,464.56
  6. Step 6: Final answer
    x = 1,208.53

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Why These Related Problems?

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