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Finding the Fourth Proportional to 1,452.02, 2,178.64 and 586.12

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Solution

The fourth proportional to 1,452.02, 2,178.64 and 586.12 is: 879.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.02 : 2,178.64 = 586.12 : x
  2. Step 2: Convert to fraction form
    1,452.02/2,178.64 = 586.12/x
  3. Step 3: Cross multiply
    1,452.02x = 2,178.64 × 586.12
  4. Step 4: Simplify right side
    1,452.02x = 1,276,944.48
  5. Step 5: Solve for x
    x = 1,276,944.48/1,452.02
  6. Step 6: Final answer
    x = 879.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.