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Finding the Fourth Proportional to 945.06, 1,418 and 512.18

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Solution

The fourth proportional to 945.06, 1,418 and 512.18 is: 768.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.06 : 1,418 = 512.18 : x
  2. Step 2: Convert to fraction form
    945.06/1,418 = 512.18/x
  3. Step 3: Cross multiply
    945.06x = 1,418 × 512.18
  4. Step 4: Simplify right side
    945.06x = 726,271.24
  5. Step 5: Solve for x
    x = 726,271.24/945.06
  6. Step 6: Final answer
    x = 768.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.