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Finding the Fourth Proportional to 1,050.93, 1,575.03 and 582.09

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Solution

The fourth proportional to 1,050.93, 1,575.03 and 582.09 is: 872.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.93 : 1,575.03 = 582.09 : x
  2. Step 2: Convert to fraction form
    1,050.93/1,575.03 = 582.09/x
  3. Step 3: Cross multiply
    1,050.93x = 1,575.03 × 582.09
  4. Step 4: Simplify right side
    1,050.93x = 916,809.21
  5. Step 5: Solve for x
    x = 916,809.21/1,050.93
  6. Step 6: Final answer
    x = 872.38

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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.