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Finding the Fourth Proportional to 673.85, 931.08 and 557.21

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Solution

The fourth proportional to 673.85, 931.08 and 557.21 is: 769.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.85 : 931.08 = 557.21 : x
  2. Step 2: Convert to fraction form
    673.85/931.08 = 557.21/x
  3. Step 3: Cross multiply
    673.85x = 931.08 × 557.21
  4. Step 4: Simplify right side
    673.85x = 518,802.43
  5. Step 5: Solve for x
    x = 518,802.43/673.85
  6. Step 6: Final answer
    x = 769.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.