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Finding the Fourth Proportional to 666.94, 920.74 and 614.24

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Solution

The fourth proportional to 666.94, 920.74 and 614.24 is: 847.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.94 : 920.74 = 614.24 : x
  2. Step 2: Convert to fraction form
    666.94/920.74 = 614.24/x
  3. Step 3: Cross multiply
    666.94x = 920.74 × 614.24
  4. Step 4: Simplify right side
    666.94x = 565,555.34
  5. Step 5: Solve for x
    x = 565,555.34/666.94
  6. Step 6: Final answer
    x = 847.99

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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.