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Finding the Fourth Proportional to 1,113, 1,669.92 and 464.28

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Solution

The fourth proportional to 1,113, 1,669.92 and 464.28 is: 696.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113 : 1,669.92 = 464.28 : x
  2. Step 2: Convert to fraction form
    1,113/1,669.92 = 464.28/x
  3. Step 3: Cross multiply
    1,113x = 1,669.92 × 464.28
  4. Step 4: Simplify right side
    1,113x = 775,310.46
  5. Step 5: Solve for x
    x = 775,310.46/1,113
  6. Step 6: Final answer
    x = 696.60

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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.