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Finding the Fourth Proportional to 766.34, 1,148.70 and 375.77

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Solution

The fourth proportional to 766.34, 1,148.70 and 375.77 is: 563.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.34 : 1,148.70 = 375.77 : x
  2. Step 2: Convert to fraction form
    766.34/1,148.70 = 375.77/x
  3. Step 3: Cross multiply
    766.34x = 1,148.70 × 375.77
  4. Step 4: Simplify right side
    766.34x = 431,647.00
  5. Step 5: Solve for x
    x = 431,647.00/766.34
  6. Step 6: Final answer
    x = 563.26

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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.