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Finding the Fourth Proportional to 666.97, 1,000.62 and 256.14

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Solution

The fourth proportional to 666.97, 1,000.62 and 256.14 is: 384.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.97 : 1,000.62 = 256.14 : x
  2. Step 2: Convert to fraction form
    666.97/1,000.62 = 256.14/x
  3. Step 3: Cross multiply
    666.97x = 1,000.62 × 256.14
  4. Step 4: Simplify right side
    666.97x = 256,298.81
  5. Step 5: Solve for x
    x = 256,298.81/666.97
  6. Step 6: Final answer
    x = 384.27

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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.