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Finding the Fourth Proportional to 1,435.05, 2,152.98 and 557.82

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Solution

The fourth proportional to 1,435.05, 2,152.98 and 557.82 is: 836.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,435.05 : 2,152.98 = 557.82 : x
  2. Step 2: Convert to fraction form
    1,435.05/2,152.98 = 557.82/x
  3. Step 3: Cross multiply
    1,435.05x = 2,152.98 × 557.82
  4. Step 4: Simplify right side
    1,435.05x = 1,200,975.30
  5. Step 5: Solve for x
    x = 1,200,975.30/1,435.05
  6. Step 6: Final answer
    x = 836.89

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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.