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Finding the Fourth Proportional to 1,277.64, 1,916.08 and 352.96

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Solution

The fourth proportional to 1,277.64, 1,916.08 and 352.96 is: 529.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.64 : 1,916.08 = 352.96 : x
  2. Step 2: Convert to fraction form
    1,277.64/1,916.08 = 352.96/x
  3. Step 3: Cross multiply
    1,277.64x = 1,916.08 × 352.96
  4. Step 4: Simplify right side
    1,277.64x = 676,299.60
  5. Step 5: Solve for x
    x = 676,299.60/1,277.64
  6. Step 6: Final answer
    x = 529.34

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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.