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Finding the Fourth Proportional to 1,049.96, 1,574.34 and 319.32

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Solution

The fourth proportional to 1,049.96, 1,574.34 and 319.32 is: 478.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.96 : 1,574.34 = 319.32 : x
  2. Step 2: Convert to fraction form
    1,049.96/1,574.34 = 319.32/x
  3. Step 3: Cross multiply
    1,049.96x = 1,574.34 × 319.32
  4. Step 4: Simplify right side
    1,049.96x = 502,718.25
  5. Step 5: Solve for x
    x = 502,718.25/1,049.96
  6. Step 6: Final answer
    x = 478.80

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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.