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Finding the Fourth Proportional to 1,125.70, 1,553.58 and 683.64

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Solution

The fourth proportional to 1,125.70, 1,553.58 and 683.64 is: 943.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.70 : 1,553.58 = 683.64 : x
  2. Step 2: Convert to fraction form
    1,125.70/1,553.58 = 683.64/x
  3. Step 3: Cross multiply
    1,125.70x = 1,553.58 × 683.64
  4. Step 4: Simplify right side
    1,125.70x = 1,062,089.43
  5. Step 5: Solve for x
    x = 1,062,089.43/1,125.70
  6. Step 6: Final answer
    x = 943.49

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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.