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Finding the Fourth Proportional to 1,050.07, 1,575.05 and 319.62

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Solution

The fourth proportional to 1,050.07, 1,575.05 and 319.62 is: 479.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.07 : 1,575.05 = 319.62 : x
  2. Step 2: Convert to fraction form
    1,050.07/1,575.05 = 319.62/x
  3. Step 3: Cross multiply
    1,050.07x = 1,575.05 × 319.62
  4. Step 4: Simplify right side
    1,050.07x = 503,418.28
  5. Step 5: Solve for x
    x = 503,418.28/1,050.07
  6. Step 6: Final answer
    x = 479.42

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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.