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Finding the Fourth Proportional to 683.70, 943.65 and 537

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Solution

The fourth proportional to 683.70, 943.65 and 537 is: 741.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.70 : 943.65 = 537 : x
  2. Step 2: Convert to fraction form
    683.70/943.65 = 537/x
  3. Step 3: Cross multiply
    683.70x = 943.65 × 537
  4. Step 4: Simplify right side
    683.70x = 506,740.05
  5. Step 5: Solve for x
    x = 506,740.05/683.70
  6. Step 6: Final answer
    x = 741.17

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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.