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Finding the Fourth Proportional to 1,093.92, 1,509.72 and 628.20

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Solution

The fourth proportional to 1,093.92, 1,509.72 and 628.20 is: 866.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.92 : 1,509.72 = 628.20 : x
  2. Step 2: Convert to fraction form
    1,093.92/1,509.72 = 628.20/x
  3. Step 3: Cross multiply
    1,093.92x = 1,509.72 × 628.20
  4. Step 4: Simplify right side
    1,093.92x = 948,406.10
  5. Step 5: Solve for x
    x = 948,406.10/1,093.92
  6. Step 6: Final answer
    x = 866.98

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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.