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Finding the Fourth Proportional to 785.65, 1,084.54 and 538.25

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Solution

The fourth proportional to 785.65, 1,084.54 and 538.25 is: 743.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.65 : 1,084.54 = 538.25 : x
  2. Step 2: Convert to fraction form
    785.65/1,084.54 = 538.25/x
  3. Step 3: Cross multiply
    785.65x = 1,084.54 × 538.25
  4. Step 4: Simplify right side
    785.65x = 583,747.90
  5. Step 5: Solve for x
    x = 583,747.90/785.65
  6. Step 6: Final answer
    x = 743.01

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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.