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Finding the Fourth Proportional to 926.51, 1,388.34 and 438.48

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Solution

The fourth proportional to 926.51, 1,388.34 and 438.48 is: 657.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.51 : 1,388.34 = 438.48 : x
  2. Step 2: Convert to fraction form
    926.51/1,388.34 = 438.48/x
  3. Step 3: Cross multiply
    926.51x = 1,388.34 × 438.48
  4. Step 4: Simplify right side
    926.51x = 608,759.32
  5. Step 5: Solve for x
    x = 608,759.32/926.51
  6. Step 6: Final answer
    x = 657.05

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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.