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Finding the Fourth Proportional to 949.02, 1,421.58 and 730.04

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Solution

The fourth proportional to 949.02, 1,421.58 and 730.04 is: 1,093.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.02 : 1,421.58 = 730.04 : x
  2. Step 2: Convert to fraction form
    949.02/1,421.58 = 730.04/x
  3. Step 3: Cross multiply
    949.02x = 1,421.58 × 730.04
  4. Step 4: Simplify right side
    949.02x = 1,037,810.26
  5. Step 5: Solve for x
    x = 1,037,810.26/949.02
  6. Step 6: Final answer
    x = 1,093.56

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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.