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Finding the Fourth Proportional to 742.44, 1,024.86 and 510.36

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Solution

The fourth proportional to 742.44, 1,024.86 and 510.36 is: 704.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.44 : 1,024.86 = 510.36 : x
  2. Step 2: Convert to fraction form
    742.44/1,024.86 = 510.36/x
  3. Step 3: Cross multiply
    742.44x = 1,024.86 × 510.36
  4. Step 4: Simplify right side
    742.44x = 523,047.55
  5. Step 5: Solve for x
    x = 523,047.55/742.44
  6. Step 6: Final answer
    x = 704.50

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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.