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Finding the Fourth Proportional to 757.64, 1,045.58 and 421.58

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Solution

The fourth proportional to 757.64, 1,045.58 and 421.58 is: 581.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.64 : 1,045.58 = 421.58 : x
  2. Step 2: Convert to fraction form
    757.64/1,045.58 = 421.58/x
  3. Step 3: Cross multiply
    757.64x = 1,045.58 × 421.58
  4. Step 4: Simplify right side
    757.64x = 440,795.62
  5. Step 5: Solve for x
    x = 440,795.62/757.64
  6. Step 6: Final answer
    x = 581.80

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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.