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Finding the Fourth Proportional to 1,267.65, 1,747.98 and 973.62

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Solution

The fourth proportional to 1,267.65, 1,747.98 and 973.62 is: 1,342.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.65 : 1,747.98 = 973.62 : x
  2. Step 2: Convert to fraction form
    1,267.65/1,747.98 = 973.62/x
  3. Step 3: Cross multiply
    1,267.65x = 1,747.98 × 973.62
  4. Step 4: Simplify right side
    1,267.65x = 1,701,868.29
  5. Step 5: Solve for x
    x = 1,701,868.29/1,267.65
  6. Step 6: Final answer
    x = 1,342.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.