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Finding the Fourth Proportional to 754.84, 1,132.80 and 430.57

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Solution

The fourth proportional to 754.84, 1,132.80 and 430.57 is: 646.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.84 : 1,132.80 = 430.57 : x
  2. Step 2: Convert to fraction form
    754.84/1,132.80 = 430.57/x
  3. Step 3: Cross multiply
    754.84x = 1,132.80 × 430.57
  4. Step 4: Simplify right side
    754.84x = 487,749.70
  5. Step 5: Solve for x
    x = 487,749.70/754.84
  6. Step 6: Final answer
    x = 646.16

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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.