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Finding the Fourth Proportional to 926.39, 1,388.59 and 463.25

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Solution

The fourth proportional to 926.39, 1,388.59 and 463.25 is: 694.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.39 : 1,388.59 = 463.25 : x
  2. Step 2: Convert to fraction form
    926.39/1,388.59 = 463.25/x
  3. Step 3: Cross multiply
    926.39x = 1,388.59 × 463.25
  4. Step 4: Simplify right side
    926.39x = 643,266.63
  5. Step 5: Solve for x
    x = 643,266.63/926.39
  6. Step 6: Final answer
    x = 694.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.