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Finding the Fourth Proportional to 1,009.76, 1,391.60 and 760.64

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Solution

The fourth proportional to 1,009.76, 1,391.60 and 760.64 is: 1,048.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.76 : 1,391.60 = 760.64 : x
  2. Step 2: Convert to fraction form
    1,009.76/1,391.60 = 760.64/x
  3. Step 3: Cross multiply
    1,009.76x = 1,391.60 × 760.64
  4. Step 4: Simplify right side
    1,009.76x = 1,058,506.62
  5. Step 5: Solve for x
    x = 1,058,506.62/1,009.76
  6. Step 6: Final answer
    x = 1,048.28

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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.