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Finding the Fourth Proportional to 1,050.15, 1,575.44 and 319.70

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Solution

The fourth proportional to 1,050.15, 1,575.44 and 319.70 is: 479.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.15 : 1,575.44 = 319.70 : x
  2. Step 2: Convert to fraction form
    1,050.15/1,575.44 = 319.70/x
  3. Step 3: Cross multiply
    1,050.15x = 1,575.44 × 319.70
  4. Step 4: Simplify right side
    1,050.15x = 503,658.69
  5. Step 5: Solve for x
    x = 503,658.69/1,050.15
  6. Step 6: Final answer
    x = 479.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.