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Finding the Fourth Proportional to 1,492.96, 2,239.44 and 568.31

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Solution

The fourth proportional to 1,492.96, 2,239.44 and 568.31 is: 852.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.96 : 2,239.44 = 568.31 : x
  2. Step 2: Convert to fraction form
    1,492.96/2,239.44 = 568.31/x
  3. Step 3: Cross multiply
    1,492.96x = 2,239.44 × 568.31
  4. Step 4: Simplify right side
    1,492.96x = 1,272,696.15
  5. Step 5: Solve for x
    x = 1,272,696.15/1,492.96
  6. Step 6: Final answer
    x = 852.47

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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.