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Finding the Fourth Proportional to 785.53, 1,084.08 and 654.31

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Solution

The fourth proportional to 785.53, 1,084.08 and 654.31 is: 902.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.53 : 1,084.08 = 654.31 : x
  2. Step 2: Convert to fraction form
    785.53/1,084.08 = 654.31/x
  3. Step 3: Cross multiply
    785.53x = 1,084.08 × 654.31
  4. Step 4: Simplify right side
    785.53x = 709,324.38
  5. Step 5: Solve for x
    x = 709,324.38/785.53
  6. Step 6: Final answer
    x = 902.99

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1.5x scale

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.