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Finding the Fourth Proportional to 921.03, 1,381.55 and 459.39

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Solution

The fourth proportional to 921.03, 1,381.55 and 459.39 is: 689.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.03 : 1,381.55 = 459.39 : x
  2. Step 2: Convert to fraction form
    921.03/1,381.55 = 459.39/x
  3. Step 3: Cross multiply
    921.03x = 1,381.55 × 459.39
  4. Step 4: Simplify right side
    921.03x = 634,670.25
  5. Step 5: Solve for x
    x = 634,670.25/921.03
  6. Step 6: Final answer
    x = 689.09

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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.