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Finding the Fourth Proportional to 1,371.59, 2,056.94 and 446.93

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Solution

The fourth proportional to 1,371.59, 2,056.94 and 446.93 is: 670.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.59 : 2,056.94 = 446.93 : x
  2. Step 2: Convert to fraction form
    1,371.59/2,056.94 = 446.93/x
  3. Step 3: Cross multiply
    1,371.59x = 2,056.94 × 446.93
  4. Step 4: Simplify right side
    1,371.59x = 919,308.19
  5. Step 5: Solve for x
    x = 919,308.19/1,371.59
  6. Step 6: Final answer
    x = 670.25

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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.