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Finding the Fourth Proportional to 926.64, 1,278.73 and 512.64

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Solution

The fourth proportional to 926.64, 1,278.73 and 512.64 is: 707.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.64 : 1,278.73 = 512.64 : x
  2. Step 2: Convert to fraction form
    926.64/1,278.73 = 512.64/x
  3. Step 3: Cross multiply
    926.64x = 1,278.73 × 512.64
  4. Step 4: Simplify right side
    926.64x = 655,528.15
  5. Step 5: Solve for x
    x = 655,528.15/926.64
  6. Step 6: Final answer
    x = 707.42

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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.