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Finding the Fourth Proportional to 1,512.64, 2,269.04 and 538.40

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Solution

The fourth proportional to 1,512.64, 2,269.04 and 538.40 is: 807.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,512.64 : 2,269.04 = 538.40 : x
  2. Step 2: Convert to fraction form
    1,512.64/2,269.04 = 538.40/x
  3. Step 3: Cross multiply
    1,512.64x = 2,269.04 × 538.40
  4. Step 4: Simplify right side
    1,512.64x = 1,221,651.14
  5. Step 5: Solve for x
    x = 1,221,651.14/1,512.64
  6. Step 6: Final answer
    x = 807.63

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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.