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Finding the Fourth Proportional to 683.55, 1,020.35 and 632.84

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Solution

The fourth proportional to 683.55, 1,020.35 and 632.84 is: 944.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.55 : 1,020.35 = 632.84 : x
  2. Step 2: Convert to fraction form
    683.55/1,020.35 = 632.84/x
  3. Step 3: Cross multiply
    683.55x = 1,020.35 × 632.84
  4. Step 4: Simplify right side
    683.55x = 645,710.03
  5. Step 5: Solve for x
    x = 645,710.03/683.55
  6. Step 6: Final answer
    x = 944.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.