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Finding the Fourth Proportional to 1,050.83, 1,575.90 and 357.32

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Solution

The fourth proportional to 1,050.83, 1,575.90 and 357.32 is: 535.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.83 : 1,575.90 = 357.32 : x
  2. Step 2: Convert to fraction form
    1,050.83/1,575.90 = 357.32/x
  3. Step 3: Cross multiply
    1,050.83x = 1,575.90 × 357.32
  4. Step 4: Simplify right side
    1,050.83x = 563,100.59
  5. Step 5: Solve for x
    x = 563,100.59/1,050.83
  6. Step 6: Final answer
    x = 535.86

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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.