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Finding the Fourth Proportional to 1,259.50, 1,738.11 and 707.50

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Solution

The fourth proportional to 1,259.50, 1,738.11 and 707.50 is: 976.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.50 : 1,738.11 = 707.50 : x
  2. Step 2: Convert to fraction form
    1,259.50/1,738.11 = 707.50/x
  3. Step 3: Cross multiply
    1,259.50x = 1,738.11 × 707.50
  4. Step 4: Simplify right side
    1,259.50x = 1,229,712.83
  5. Step 5: Solve for x
    x = 1,229,712.83/1,259.50
  6. Step 6: Final answer
    x = 976.35

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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.