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Finding the Fourth Proportional to 785.90, 1,084.59 and 524.07

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Solution

The fourth proportional to 785.90, 1,084.59 and 524.07 is: 723.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.90 : 1,084.59 = 524.07 : x
  2. Step 2: Convert to fraction form
    785.90/1,084.59 = 524.07/x
  3. Step 3: Cross multiply
    785.90x = 1,084.59 × 524.07
  4. Step 4: Simplify right side
    785.90x = 568,401.08
  5. Step 5: Solve for x
    x = 568,401.08/785.90
  6. Step 6: Final answer
    x = 723.25

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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.