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Finding the Fourth Proportional to 1,261.64, 1,740.69 and 730.68

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Solution

The fourth proportional to 1,261.64, 1,740.69 and 730.68 is: 1,008.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.64 : 1,740.69 = 730.68 : x
  2. Step 2: Convert to fraction form
    1,261.64/1,740.69 = 730.68/x
  3. Step 3: Cross multiply
    1,261.64x = 1,740.69 × 730.68
  4. Step 4: Simplify right side
    1,261.64x = 1,271,887.37
  5. Step 5: Solve for x
    x = 1,271,887.37/1,261.64
  6. Step 6: Final answer
    x = 1,008.13

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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.