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Finding the Fourth Proportional to 1,049.49, 1,574.28 and 319.07

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Solution

The fourth proportional to 1,049.49, 1,574.28 and 319.07 is: 478.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.49 : 1,574.28 = 319.07 : x
  2. Step 2: Convert to fraction form
    1,049.49/1,574.28 = 319.07/x
  3. Step 3: Cross multiply
    1,049.49x = 1,574.28 × 319.07
  4. Step 4: Simplify right side
    1,049.49x = 502,309.46
  5. Step 5: Solve for x
    x = 502,309.46/1,049.49
  6. Step 6: Final answer
    x = 478.62

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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.