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Finding the Fourth Proportional to 1,261.65, 1,741.17 and 730.65

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Solution

The fourth proportional to 1,261.65, 1,741.17 and 730.65 is: 1,008.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.65 : 1,741.17 = 730.65 : x
  2. Step 2: Convert to fraction form
    1,261.65/1,741.17 = 730.65/x
  3. Step 3: Cross multiply
    1,261.65x = 1,741.17 × 730.65
  4. Step 4: Simplify right side
    1,261.65x = 1,272,185.86
  5. Step 5: Solve for x
    x = 1,272,185.86/1,261.65
  6. Step 6: Final answer
    x = 1,008.35

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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.