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Finding the Fourth Proportional to 1,270.23, 1,752.89 and 746.28

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Solution

The fourth proportional to 1,270.23, 1,752.89 and 746.28 is: 1,029.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.23 : 1,752.89 = 746.28 : x
  2. Step 2: Convert to fraction form
    1,270.23/1,752.89 = 746.28/x
  3. Step 3: Cross multiply
    1,270.23x = 1,752.89 × 746.28
  4. Step 4: Simplify right side
    1,270.23x = 1,308,146.75
  5. Step 5: Solve for x
    x = 1,308,146.75/1,270.23
  6. Step 6: Final answer
    x = 1,029.85

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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.