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Finding the Fourth Proportional to 825.08, 1,138.34 and 510.38

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Solution

The fourth proportional to 825.08, 1,138.34 and 510.38 is: 704.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.08 : 1,138.34 = 510.38 : x
  2. Step 2: Convert to fraction form
    825.08/1,138.34 = 510.38/x
  3. Step 3: Cross multiply
    825.08x = 1,138.34 × 510.38
  4. Step 4: Simplify right side
    825.08x = 580,985.97
  5. Step 5: Solve for x
    x = 580,985.97/825.08
  6. Step 6: Final answer
    x = 704.16

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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.