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Finding the Fourth Proportional to 742.37, 1,024.43 and 410.77

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Solution

The fourth proportional to 742.37, 1,024.43 and 410.77 is: 566.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.37 : 1,024.43 = 410.77 : x
  2. Step 2: Convert to fraction form
    742.37/1,024.43 = 410.77/x
  3. Step 3: Cross multiply
    742.37x = 1,024.43 × 410.77
  4. Step 4: Simplify right side
    742.37x = 420,805.11
  5. Step 5: Solve for x
    x = 420,805.11/742.37
  6. Step 6: Final answer
    x = 566.84

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1.5x scale

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.