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Finding the Fourth Proportional to 1,277.78, 1,916.68 and 700.34

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Solution

The fourth proportional to 1,277.78, 1,916.68 and 700.34 is: 1,050.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.78 : 1,916.68 = 700.34 : x
  2. Step 2: Convert to fraction form
    1,277.78/1,916.68 = 700.34/x
  3. Step 3: Cross multiply
    1,277.78x = 1,916.68 × 700.34
  4. Step 4: Simplify right side
    1,277.78x = 1,342,327.67
  5. Step 5: Solve for x
    x = 1,342,327.67/1,277.78
  6. Step 6: Final answer
    x = 1,050.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.