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Finding the Fourth Proportional to 1,277.34, 1,916.55 and 547.26

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Solution

The fourth proportional to 1,277.34, 1,916.55 and 547.26 is: 821.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.34 : 1,916.55 = 547.26 : x
  2. Step 2: Convert to fraction form
    1,277.34/1,916.55 = 547.26/x
  3. Step 3: Cross multiply
    1,277.34x = 1,916.55 × 547.26
  4. Step 4: Simplify right side
    1,277.34x = 1,048,851.15
  5. Step 5: Solve for x
    x = 1,048,851.15/1,277.34
  6. Step 6: Final answer
    x = 821.12

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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.