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Finding the Fourth Proportional to 1,091.69, 1,506.04 and 693.88

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Solution

The fourth proportional to 1,091.69, 1,506.04 and 693.88 is: 957.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.69 : 1,506.04 = 693.88 : x
  2. Step 2: Convert to fraction form
    1,091.69/1,506.04 = 693.88/x
  3. Step 3: Cross multiply
    1,091.69x = 1,506.04 × 693.88
  4. Step 4: Simplify right side
    1,091.69x = 1,045,011.04
  5. Step 5: Solve for x
    x = 1,045,011.04/1,091.69
  6. Step 6: Final answer
    x = 957.24

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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.