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Finding the Fourth Proportional to 743.05, 1,025.88 and 522.52

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Solution

The fourth proportional to 743.05, 1,025.88 and 522.52 is: 721.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.05 : 1,025.88 = 522.52 : x
  2. Step 2: Convert to fraction form
    743.05/1,025.88 = 522.52/x
  3. Step 3: Cross multiply
    743.05x = 1,025.88 × 522.52
  4. Step 4: Simplify right side
    743.05x = 536,042.82
  5. Step 5: Solve for x
    x = 536,042.82/743.05
  6. Step 6: Final answer
    x = 721.41

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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.