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Finding the Fourth Proportional to 742.25, 1,111.32 and 482.55

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Solution

The fourth proportional to 742.25, 1,111.32 and 482.55 is: 722.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.25 : 1,111.32 = 482.55 : x
  2. Step 2: Convert to fraction form
    742.25/1,111.32 = 482.55/x
  3. Step 3: Cross multiply
    742.25x = 1,111.32 × 482.55
  4. Step 4: Simplify right side
    742.25x = 536,267.47
  5. Step 5: Solve for x
    x = 536,267.47/742.25
  6. Step 6: Final answer
    x = 722.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.