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Finding the Fourth Proportional to 1,270.05, 1,752.73 and 772.60

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Solution

The fourth proportional to 1,270.05, 1,752.73 and 772.60 is: 1,066.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.05 : 1,752.73 = 772.60 : x
  2. Step 2: Convert to fraction form
    1,270.05/1,752.73 = 772.60/x
  3. Step 3: Cross multiply
    1,270.05x = 1,752.73 × 772.60
  4. Step 4: Simplify right side
    1,270.05x = 1,354,159.20
  5. Step 5: Solve for x
    x = 1,354,159.20/1,270.05
  6. Step 6: Final answer
    x = 1,066.23

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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.