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Finding the Fourth Proportional to 1,184.64, 1,774.52 and 952.27

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Solution

The fourth proportional to 1,184.64, 1,774.52 and 952.27 is: 1,426.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.64 : 1,774.52 = 952.27 : x
  2. Step 2: Convert to fraction form
    1,184.64/1,774.52 = 952.27/x
  3. Step 3: Cross multiply
    1,184.64x = 1,774.52 × 952.27
  4. Step 4: Simplify right side
    1,184.64x = 1,689,813.29
  5. Step 5: Solve for x
    x = 1,689,813.29/1,184.64
  6. Step 6: Final answer
    x = 1,426.44

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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.