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Finding the Fourth Proportional to 1,049.67, 1,574.30 and 319.10

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Solution

The fourth proportional to 1,049.67, 1,574.30 and 319.10 is: 478.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.67 : 1,574.30 = 319.10 : x
  2. Step 2: Convert to fraction form
    1,049.67/1,574.30 = 319.10/x
  3. Step 3: Cross multiply
    1,049.67x = 1,574.30 × 319.10
  4. Step 4: Simplify right side
    1,049.67x = 502,349.66
  5. Step 5: Solve for x
    x = 502,349.66/1,049.67
  6. Step 6: Final answer
    x = 478.58

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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.