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Finding the Fourth Proportional to 676.48, 1,014.24 and 433.12

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Solution

The fourth proportional to 676.48, 1,014.24 and 433.12 is: 649.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.48 : 1,014.24 = 433.12 : x
  2. Step 2: Convert to fraction form
    676.48/1,014.24 = 433.12/x
  3. Step 3: Cross multiply
    676.48x = 1,014.24 × 433.12
  4. Step 4: Simplify right side
    676.48x = 439,287.63
  5. Step 5: Solve for x
    x = 439,287.63/676.48
  6. Step 6: Final answer
    x = 649.37

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1.5x scale

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.