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Finding the Fourth Proportional to 1,277.69, 1,913.24 and 1,071.77

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Solution

The fourth proportional to 1,277.69, 1,913.24 and 1,071.77 is: 1,604.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,277.69 : 1,913.24 = 1,071.77 : x
  2. Step 2: Convert to fraction form
    1,277.69/1,913.24 = 1,071.77/x
  3. Step 3: Cross multiply
    1,277.69x = 1,913.24 × 1,071.77
  4. Step 4: Simplify right side
    1,277.69x = 2,050,547.88
  5. Step 5: Solve for x
    x = 2,050,547.88/1,277.69
  6. Step 6: Final answer
    x = 1,604.89

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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.