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Finding the Fourth Proportional to 757.43, 1,045.85 and 505.59

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Solution

The fourth proportional to 757.43, 1,045.85 and 505.59 is: 698.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.43 : 1,045.85 = 505.59 : x
  2. Step 2: Convert to fraction form
    757.43/1,045.85 = 505.59/x
  3. Step 3: Cross multiply
    757.43x = 1,045.85 × 505.59
  4. Step 4: Simplify right side
    757.43x = 528,768.77
  5. Step 5: Solve for x
    x = 528,768.77/757.43
  6. Step 6: Final answer
    x = 698.11

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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.