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Finding the Fourth Proportional to 1,049.82, 1,574.64 and 319.40

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Solution

The fourth proportional to 1,049.82, 1,574.64 and 319.40 is: 479.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.82 : 1,574.64 = 319.40 : x
  2. Step 2: Convert to fraction form
    1,049.82/1,574.64 = 319.40/x
  3. Step 3: Cross multiply
    1,049.82x = 1,574.64 × 319.40
  4. Step 4: Simplify right side
    1,049.82x = 502,940.02
  5. Step 5: Solve for x
    x = 502,940.02/1,049.82
  6. Step 6: Final answer
    x = 479.07

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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.