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Finding the Fourth Proportional to 758.53, 1,137.80 and 514.45

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Solution

The fourth proportional to 758.53, 1,137.80 and 514.45 is: 771.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.53 : 1,137.80 = 514.45 : x
  2. Step 2: Convert to fraction form
    758.53/1,137.80 = 514.45/x
  3. Step 3: Cross multiply
    758.53x = 1,137.80 × 514.45
  4. Step 4: Simplify right side
    758.53x = 585,341.21
  5. Step 5: Solve for x
    x = 585,341.21/758.53
  6. Step 6: Final answer
    x = 771.68

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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.