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Finding the Fourth Proportional to 785.53, 1,176.85 and 524.94

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Solution

The fourth proportional to 785.53, 1,176.85 and 524.94 is: 786.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.53 : 1,176.85 = 524.94 : x
  2. Step 2: Convert to fraction form
    785.53/1,176.85 = 524.94/x
  3. Step 3: Cross multiply
    785.53x = 1,176.85 × 524.94
  4. Step 4: Simplify right side
    785.53x = 617,775.64
  5. Step 5: Solve for x
    x = 617,775.64/785.53
  6. Step 6: Final answer
    x = 786.44

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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.