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Finding the Fourth Proportional to 684.45, 944.46 and 537.03

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Solution

The fourth proportional to 684.45, 944.46 and 537.03 is: 741.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.45 : 944.46 = 537.03 : x
  2. Step 2: Convert to fraction form
    684.45/944.46 = 537.03/x
  3. Step 3: Cross multiply
    684.45x = 944.46 × 537.03
  4. Step 4: Simplify right side
    684.45x = 507,203.35
  5. Step 5: Solve for x
    x = 507,203.35/684.45
  6. Step 6: Final answer
    x = 741.04

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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.