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Finding the Fourth Proportional to 1,050.08, 1,575.12 and 319.65

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Solution

The fourth proportional to 1,050.08, 1,575.12 and 319.65 is: 479.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.08 : 1,575.12 = 319.65 : x
  2. Step 2: Convert to fraction form
    1,050.08/1,575.12 = 319.65/x
  3. Step 3: Cross multiply
    1,050.08x = 1,575.12 × 319.65
  4. Step 4: Simplify right side
    1,050.08x = 503,487.11
  5. Step 5: Solve for x
    x = 503,487.11/1,050.08
  6. Step 6: Final answer
    x = 479.48

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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.