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Finding the Fourth Proportional to 683.64, 1,026.25 and 392.24

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Solution

The fourth proportional to 683.64, 1,026.25 and 392.24 is: 588.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.64 : 1,026.25 = 392.24 : x
  2. Step 2: Convert to fraction form
    683.64/1,026.25 = 392.24/x
  3. Step 3: Cross multiply
    683.64x = 1,026.25 × 392.24
  4. Step 4: Simplify right side
    683.64x = 402,537.89
  5. Step 5: Solve for x
    x = 402,537.89/683.64
  6. Step 6: Final answer
    x = 588.82

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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.