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Finding the Fourth Proportional to 1,050.30, 1,575.71 and 319.89

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Solution

The fourth proportional to 1,050.30, 1,575.71 and 319.89 is: 479.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.30 : 1,575.71 = 319.89 : x
  2. Step 2: Convert to fraction form
    1,050.30/1,575.71 = 319.89/x
  3. Step 3: Cross multiply
    1,050.30x = 1,575.71 × 319.89
  4. Step 4: Simplify right side
    1,050.30x = 504,052.27
  5. Step 5: Solve for x
    x = 504,052.27/1,050.30
  6. Step 6: Final answer
    x = 479.91

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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.