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Finding the Fourth Proportional to 756.10, 1,132.35 and 430.84

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Solution

The fourth proportional to 756.10, 1,132.35 and 430.84 is: 645.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.10 : 1,132.35 = 430.84 : x
  2. Step 2: Convert to fraction form
    756.10/1,132.35 = 430.84/x
  3. Step 3: Cross multiply
    756.10x = 1,132.35 × 430.84
  4. Step 4: Simplify right side
    756.10x = 487,861.67
  5. Step 5: Solve for x
    x = 487,861.67/756.10
  6. Step 6: Final answer
    x = 645.23

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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.