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Finding the Fourth Proportional to 838.10, 1,256.52 and 405.14

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Solution

The fourth proportional to 838.10, 1,256.52 and 405.14 is: 607.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.10 : 1,256.52 = 405.14 : x
  2. Step 2: Convert to fraction form
    838.10/1,256.52 = 405.14/x
  3. Step 3: Cross multiply
    838.10x = 1,256.52 × 405.14
  4. Step 4: Simplify right side
    838.10x = 509,066.51
  5. Step 5: Solve for x
    x = 509,066.51/838.10
  6. Step 6: Final answer
    x = 607.41

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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.