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Finding the Fourth Proportional to 756.20, 1,132.48 and 430.58

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Solution

The fourth proportional to 756.20, 1,132.48 and 430.58 is: 644.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.20 : 1,132.48 = 430.58 : x
  2. Step 2: Convert to fraction form
    756.20/1,132.48 = 430.58/x
  3. Step 3: Cross multiply
    756.20x = 1,132.48 × 430.58
  4. Step 4: Simplify right side
    756.20x = 487,626.61
  5. Step 5: Solve for x
    x = 487,626.61/756.20
  6. Step 6: Final answer
    x = 644.84

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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.