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Finding the Fourth Proportional to 816.45, 1,124.88 and 536.20

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Solution

The fourth proportional to 816.45, 1,124.88 and 536.20 is: 738.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.45 : 1,124.88 = 536.20 : x
  2. Step 2: Convert to fraction form
    816.45/1,124.88 = 536.20/x
  3. Step 3: Cross multiply
    816.45x = 1,124.88 × 536.20
  4. Step 4: Simplify right side
    816.45x = 603,160.66
  5. Step 5: Solve for x
    x = 603,160.66/816.45
  6. Step 6: Final answer
    x = 738.76

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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.