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Finding the Fourth Proportional to 1,477.08, 2,217.24 and 829.08

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Solution

The fourth proportional to 1,477.08, 2,217.24 and 829.08 is: 1,244.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.08 : 2,217.24 = 829.08 : x
  2. Step 2: Convert to fraction form
    1,477.08/2,217.24 = 829.08/x
  3. Step 3: Cross multiply
    1,477.08x = 2,217.24 × 829.08
  4. Step 4: Simplify right side
    1,477.08x = 1,838,269.34
  5. Step 5: Solve for x
    x = 1,838,269.34/1,477.08
  6. Step 6: Final answer
    x = 1,244.53

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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.