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Finding the Fourth Proportional to 1,450.55, 2,175.86 and 464.04

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Solution

The fourth proportional to 1,450.55, 2,175.86 and 464.04 is: 696.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.55 : 2,175.86 = 464.04 : x
  2. Step 2: Convert to fraction form
    1,450.55/2,175.86 = 464.04/x
  3. Step 3: Cross multiply
    1,450.55x = 2,175.86 × 464.04
  4. Step 4: Simplify right side
    1,450.55x = 1,009,686.07
  5. Step 5: Solve for x
    x = 1,009,686.07/1,450.55
  6. Step 6: Final answer
    x = 696.07

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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.