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Finding the Fourth Proportional to 1,097, 1,511.76 and 703.34

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Solution

The fourth proportional to 1,097, 1,511.76 and 703.34 is: 969.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097 : 1,511.76 = 703.34 : x
  2. Step 2: Convert to fraction form
    1,097/1,511.76 = 703.34/x
  3. Step 3: Cross multiply
    1,097x = 1,511.76 × 703.34
  4. Step 4: Simplify right side
    1,097x = 1,063,281.28
  5. Step 5: Solve for x
    x = 1,063,281.28/1,097
  6. Step 6: Final answer
    x = 969.26

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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.