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Finding the Fourth Proportional to 828.90, 1,143.45 and 514.08

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Solution

The fourth proportional to 828.90, 1,143.45 and 514.08 is: 709.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.90 : 1,143.45 = 514.08 : x
  2. Step 2: Convert to fraction form
    828.90/1,143.45 = 514.08/x
  3. Step 3: Cross multiply
    828.90x = 1,143.45 × 514.08
  4. Step 4: Simplify right side
    828.90x = 587,824.78
  5. Step 5: Solve for x
    x = 587,824.78/828.90
  6. Step 6: Final answer
    x = 709.16

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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.