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Finding the Fourth Proportional to 1,152.02, 1,589.75 and 628.04

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Solution

The fourth proportional to 1,152.02, 1,589.75 and 628.04 is: 866.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.02 : 1,589.75 = 628.04 : x
  2. Step 2: Convert to fraction form
    1,152.02/1,589.75 = 628.04/x
  3. Step 3: Cross multiply
    1,152.02x = 1,589.75 × 628.04
  4. Step 4: Simplify right side
    1,152.02x = 998,429.78
  5. Step 5: Solve for x
    x = 998,429.78/1,152.02
  6. Step 6: Final answer
    x = 866.68

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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.