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Finding the Fourth Proportional to 1,492.59, 2,238.25 and 567.64

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Solution

The fourth proportional to 1,492.59, 2,238.25 and 567.64 is: 851.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.59 : 2,238.25 = 567.64 : x
  2. Step 2: Convert to fraction form
    1,492.59/2,238.25 = 567.64/x
  3. Step 3: Cross multiply
    1,492.59x = 2,238.25 × 567.64
  4. Step 4: Simplify right side
    1,492.59x = 1,270,520.23
  5. Step 5: Solve for x
    x = 1,270,520.23/1,492.59
  6. Step 6: Final answer
    x = 851.22

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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.