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Finding the Fourth Proportional to 683.57, 1,025.97 and 592.45

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Solution

The fourth proportional to 683.57, 1,025.97 and 592.45 is: 889.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.57 : 1,025.97 = 592.45 : x
  2. Step 2: Convert to fraction form
    683.57/1,025.97 = 592.45/x
  3. Step 3: Cross multiply
    683.57x = 1,025.97 × 592.45
  4. Step 4: Simplify right side
    683.57x = 607,831.14
  5. Step 5: Solve for x
    x = 607,831.14/683.57
  6. Step 6: Final answer
    x = 889.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.