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Finding the Fourth Proportional to 683.10, 943.08 and 541.17

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Solution

The fourth proportional to 683.10, 943.08 and 541.17 is: 747.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.10 : 943.08 = 541.17 : x
  2. Step 2: Convert to fraction form
    683.10/943.08 = 541.17/x
  3. Step 3: Cross multiply
    683.10x = 943.08 × 541.17
  4. Step 4: Simplify right side
    683.10x = 510,366.60
  5. Step 5: Solve for x
    x = 510,366.60/683.10
  6. Step 6: Final answer
    x = 747.13

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1.5x scale

Why These Related Problems?

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