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Finding the Fourth Proportional to 1,094.70, 1,510.93 and 696.29

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Solution

The fourth proportional to 1,094.70, 1,510.93 and 696.29 is: 961.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.70 : 1,510.93 = 696.29 : x
  2. Step 2: Convert to fraction form
    1,094.70/1,510.93 = 696.29/x
  3. Step 3: Cross multiply
    1,094.70x = 1,510.93 × 696.29
  4. Step 4: Simplify right side
    1,094.70x = 1,052,037.90
  5. Step 5: Solve for x
    x = 1,052,037.90/1,094.70
  6. Step 6: Final answer
    x = 961.03

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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.