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Finding the Fourth Proportional to 838.49, 1,157.04 and 465.50

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Solution

The fourth proportional to 838.49, 1,157.04 and 465.50 is: 642.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.49 : 1,157.04 = 465.50 : x
  2. Step 2: Convert to fraction form
    838.49/1,157.04 = 465.50/x
  3. Step 3: Cross multiply
    838.49x = 1,157.04 × 465.50
  4. Step 4: Simplify right side
    838.49x = 538,602.12
  5. Step 5: Solve for x
    x = 538,602.12/838.49
  6. Step 6: Final answer
    x = 642.35

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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.