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Finding the Fourth Proportional to 1,473.83, 2,211.15 and 595.79

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Solution

The fourth proportional to 1,473.83, 2,211.15 and 595.79 is: 893.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.83 : 2,211.15 = 595.79 : x
  2. Step 2: Convert to fraction form
    1,473.83/2,211.15 = 595.79/x
  3. Step 3: Cross multiply
    1,473.83x = 2,211.15 × 595.79
  4. Step 4: Simplify right side
    1,473.83x = 1,317,377.18
  5. Step 5: Solve for x
    x = 1,317,377.18/1,473.83
  6. Step 6: Final answer
    x = 893.85

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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.