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Finding the Fourth Proportional to 1,259.64, 1,739.12 and 818.79

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Solution

The fourth proportional to 1,259.64, 1,739.12 and 818.79 is: 1,130.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.64 : 1,739.12 = 818.79 : x
  2. Step 2: Convert to fraction form
    1,259.64/1,739.12 = 818.79/x
  3. Step 3: Cross multiply
    1,259.64x = 1,739.12 × 818.79
  4. Step 4: Simplify right side
    1,259.64x = 1,423,969.97
  5. Step 5: Solve for x
    x = 1,423,969.97/1,259.64
  6. Step 6: Final answer
    x = 1,130.46

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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.