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Finding the Fourth Proportional to 1,159.30, 1,734.68 and 697.36

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Solution

The fourth proportional to 1,159.30, 1,734.68 and 697.36 is: 1,043.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.30 : 1,734.68 = 697.36 : x
  2. Step 2: Convert to fraction form
    1,159.30/1,734.68 = 697.36/x
  3. Step 3: Cross multiply
    1,159.30x = 1,734.68 × 697.36
  4. Step 4: Simplify right side
    1,159.30x = 1,209,696.44
  5. Step 5: Solve for x
    x = 1,209,696.44/1,159.30
  6. Step 6: Final answer
    x = 1,043.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.