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Finding the Fourth Proportional to 1,050.58, 1,575.96 and 588.34

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Solution

The fourth proportional to 1,050.58, 1,575.96 and 588.34 is: 882.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.58 : 1,575.96 = 588.34 : x
  2. Step 2: Convert to fraction form
    1,050.58/1,575.96 = 588.34/x
  3. Step 3: Cross multiply
    1,050.58x = 1,575.96 × 588.34
  4. Step 4: Simplify right side
    1,050.58x = 927,200.31
  5. Step 5: Solve for x
    x = 927,200.31/1,050.58
  6. Step 6: Final answer
    x = 882.56

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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.