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Finding the Fourth Proportional to 1,049.84, 1,574.72 and 464.24

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Solution

The fourth proportional to 1,049.84, 1,574.72 and 464.24 is: 696.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.84 : 1,574.72 = 464.24 : x
  2. Step 2: Convert to fraction form
    1,049.84/1,574.72 = 464.24/x
  3. Step 3: Cross multiply
    1,049.84x = 1,574.72 × 464.24
  4. Step 4: Simplify right side
    1,049.84x = 731,048.01
  5. Step 5: Solve for x
    x = 731,048.01/1,049.84
  6. Step 6: Final answer
    x = 696.34

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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.