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Finding the Fourth Proportional to 785.42, 1,176.77 and 541.07

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Solution

The fourth proportional to 785.42, 1,176.77 and 541.07 is: 810.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.42 : 1,176.77 = 541.07 : x
  2. Step 2: Convert to fraction form
    785.42/1,176.77 = 541.07/x
  3. Step 3: Cross multiply
    785.42x = 1,176.77 × 541.07
  4. Step 4: Simplify right side
    785.42x = 636,710.41
  5. Step 5: Solve for x
    x = 636,710.41/785.42
  6. Step 6: Final answer
    x = 810.67

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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.