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Finding the Fourth Proportional to 684.55, 944.75 and 509.59

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Solution

The fourth proportional to 684.55, 944.75 and 509.59 is: 703.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.55 : 944.75 = 509.59 : x
  2. Step 2: Convert to fraction form
    684.55/944.75 = 509.59/x
  3. Step 3: Cross multiply
    684.55x = 944.75 × 509.59
  4. Step 4: Simplify right side
    684.55x = 481,427.88
  5. Step 5: Solve for x
    x = 481,427.88/684.55
  6. Step 6: Final answer
    x = 703.28

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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.