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Finding the Fourth Proportional to 1,266.02, 1,746.92 and 768.40

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Solution

The fourth proportional to 1,266.02, 1,746.92 and 768.40 is: 1,060.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.02 : 1,746.92 = 768.40 : x
  2. Step 2: Convert to fraction form
    1,266.02/1,746.92 = 768.40/x
  3. Step 3: Cross multiply
    1,266.02x = 1,746.92 × 768.40
  4. Step 4: Simplify right side
    1,266.02x = 1,342,333.33
  5. Step 5: Solve for x
    x = 1,342,333.33/1,266.02
  6. Step 6: Final answer
    x = 1,060.28

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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.