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Finding the Fourth Proportional to 686.94, 948.24 and 509.61

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Solution

The fourth proportional to 686.94, 948.24 and 509.61 is: 703.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.94 : 948.24 = 509.61 : x
  2. Step 2: Convert to fraction form
    686.94/948.24 = 509.61/x
  3. Step 3: Cross multiply
    686.94x = 948.24 × 509.61
  4. Step 4: Simplify right side
    686.94x = 483,232.59
  5. Step 5: Solve for x
    x = 483,232.59/686.94
  6. Step 6: Final answer
    x = 703.46

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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.