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Finding the Fourth Proportional to 1,259.88, 1,738.63 and 707.88

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Solution

The fourth proportional to 1,259.88, 1,738.63 and 707.88 is: 976.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.88 : 1,738.63 = 707.88 : x
  2. Step 2: Convert to fraction form
    1,259.88/1,738.63 = 707.88/x
  3. Step 3: Cross multiply
    1,259.88x = 1,738.63 × 707.88
  4. Step 4: Simplify right side
    1,259.88x = 1,230,741.40
  5. Step 5: Solve for x
    x = 1,230,741.40/1,259.88
  6. Step 6: Final answer
    x = 976.87

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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.