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Finding the Fourth Proportional to 757.42, 1,045.25 and 421.35

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Solution

The fourth proportional to 757.42, 1,045.25 and 421.35 is: 581.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.42 : 1,045.25 = 421.35 : x
  2. Step 2: Convert to fraction form
    757.42/1,045.25 = 421.35/x
  3. Step 3: Cross multiply
    757.42x = 1,045.25 × 421.35
  4. Step 4: Simplify right side
    757.42x = 440,411.77
  5. Step 5: Solve for x
    x = 440,411.77/757.42
  6. Step 6: Final answer
    x = 581.47

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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.