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Finding the Fourth Proportional to 1,113.29, 1,669.04 and 464.51

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Solution

The fourth proportional to 1,113.29, 1,669.04 and 464.51 is: 696.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.29 : 1,669.04 = 464.51 : x
  2. Step 2: Convert to fraction form
    1,113.29/1,669.04 = 464.51/x
  3. Step 3: Cross multiply
    1,113.29x = 1,669.04 × 464.51
  4. Step 4: Simplify right side
    1,113.29x = 775,288.78
  5. Step 5: Solve for x
    x = 775,288.78/1,113.29
  6. Step 6: Final answer
    x = 696.39

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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.