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Finding the Fourth Proportional to 1,069.97, 1,476.41 and 597.81

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Solution

The fourth proportional to 1,069.97, 1,476.41 and 597.81 is: 824.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.97 : 1,476.41 = 597.81 : x
  2. Step 2: Convert to fraction form
    1,069.97/1,476.41 = 597.81/x
  3. Step 3: Cross multiply
    1,069.97x = 1,476.41 × 597.81
  4. Step 4: Simplify right side
    1,069.97x = 882,610.47
  5. Step 5: Solve for x
    x = 882,610.47/1,069.97
  6. Step 6: Final answer
    x = 824.89

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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.