Home / 1,277.58-1,916.01-411.42

Finding the Fourth Proportional to 1,277.58, 1,916.01 and 411.42

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Solution

The fourth proportional to 1,277.58, 1,916.01 and 411.42 is: 617.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.58 : 1,916.01 = 411.42 : x
  2. Step 2: Convert to fraction form
    1,277.58/1,916.01 = 411.42/x
  3. Step 3: Cross multiply
    1,277.58x = 1,916.01 × 411.42
  4. Step 4: Simplify right side
    1,277.58x = 788,284.83
  5. Step 5: Solve for x
    x = 788,284.83/1,277.58
  6. Step 6: Final answer
    x = 617.01

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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.