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Finding the Fourth Proportional to 1,050.47, 1,575.60 and 320.05

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Solution

The fourth proportional to 1,050.47, 1,575.60 and 320.05 is: 480.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.47 : 1,575.60 = 320.05 : x
  2. Step 2: Convert to fraction form
    1,050.47/1,575.60 = 320.05/x
  3. Step 3: Cross multiply
    1,050.47x = 1,575.60 × 320.05
  4. Step 4: Simplify right side
    1,050.47x = 504,270.78
  5. Step 5: Solve for x
    x = 504,270.78/1,050.47
  6. Step 6: Final answer
    x = 480.04

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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.