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Finding the Fourth Proportional to 1,071.09, 1,476.81 and 697.91

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Solution

The fourth proportional to 1,071.09, 1,476.81 and 697.91 is: 962.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.09 : 1,476.81 = 697.91 : x
  2. Step 2: Convert to fraction form
    1,071.09/1,476.81 = 697.91/x
  3. Step 3: Cross multiply
    1,071.09x = 1,476.81 × 697.91
  4. Step 4: Simplify right side
    1,071.09x = 1,030,673.08
  5. Step 5: Solve for x
    x = 1,030,673.08/1,071.09
  6. Step 6: Final answer
    x = 962.27

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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.