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Finding the Fourth Proportional to 838.37, 1,156.94 and 465.35

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Solution

The fourth proportional to 838.37, 1,156.94 and 465.35 is: 642.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.37 : 1,156.94 = 465.35 : x
  2. Step 2: Convert to fraction form
    838.37/1,156.94 = 465.35/x
  3. Step 3: Cross multiply
    838.37x = 1,156.94 × 465.35
  4. Step 4: Simplify right side
    838.37x = 538,373.92
  5. Step 5: Solve for x
    x = 538,373.92/838.37
  6. Step 6: Final answer
    x = 642.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.