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Finding the Fourth Proportional to 877.43, 1,316.01 and 292.44

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Solution

The fourth proportional to 877.43, 1,316.01 and 292.44 is: 438.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.43 : 1,316.01 = 292.44 : x
  2. Step 2: Convert to fraction form
    877.43/1,316.01 = 292.44/x
  3. Step 3: Cross multiply
    877.43x = 1,316.01 × 292.44
  4. Step 4: Simplify right side
    877.43x = 384,860.00
  5. Step 5: Solve for x
    x = 384,860.00/877.43
  6. Step 6: Final answer
    x = 438.62

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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.