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Finding the Fourth Proportional to 985.40, 1,359.97 and 587.17

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Solution

The fourth proportional to 985.40, 1,359.97 and 587.17 is: 810.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.40 : 1,359.97 = 587.17 : x
  2. Step 2: Convert to fraction form
    985.40/1,359.97 = 587.17/x
  3. Step 3: Cross multiply
    985.40x = 1,359.97 × 587.17
  4. Step 4: Simplify right side
    985.40x = 798,533.58
  5. Step 5: Solve for x
    x = 798,533.58/985.40
  6. Step 6: Final answer
    x = 810.36

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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.