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Finding the Fourth Proportional to 683.16, 1,025.34 and 522.84

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Solution

The fourth proportional to 683.16, 1,025.34 and 522.84 is: 784.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.16 : 1,025.34 = 522.84 : x
  2. Step 2: Convert to fraction form
    683.16/1,025.34 = 522.84/x
  3. Step 3: Cross multiply
    683.16x = 1,025.34 × 522.84
  4. Step 4: Simplify right side
    683.16x = 536,088.77
  5. Step 5: Solve for x
    x = 536,088.77/683.16
  6. Step 6: Final answer
    x = 784.72

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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.