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Finding the Fourth Proportional to 1,049.79, 1,574.34 and 464.64

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Solution

The fourth proportional to 1,049.79, 1,574.34 and 464.64 is: 696.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.79 : 1,574.34 = 464.64 : x
  2. Step 2: Convert to fraction form
    1,049.79/1,574.34 = 464.64/x
  3. Step 3: Cross multiply
    1,049.79x = 1,574.34 × 464.64
  4. Step 4: Simplify right side
    1,049.79x = 731,501.34
  5. Step 5: Solve for x
    x = 731,501.34/1,049.79
  6. Step 6: Final answer
    x = 696.81

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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.