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Finding the Fourth Proportional to 1,164.04, 1,605.30 and 765.32

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Solution

The fourth proportional to 1,164.04, 1,605.30 and 765.32 is: 1,055.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.04 : 1,605.30 = 765.32 : x
  2. Step 2: Convert to fraction form
    1,164.04/1,605.30 = 765.32/x
  3. Step 3: Cross multiply
    1,164.04x = 1,605.30 × 765.32
  4. Step 4: Simplify right side
    1,164.04x = 1,228,568.20
  5. Step 5: Solve for x
    x = 1,228,568.20/1,164.04
  6. Step 6: Final answer
    x = 1,055.43

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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.