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Finding the Fourth Proportional to 1,159.74, 1,740.18 and 543.36

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Solution

The fourth proportional to 1,159.74, 1,740.18 and 543.36 is: 815.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.74 : 1,740.18 = 543.36 : x
  2. Step 2: Convert to fraction form
    1,159.74/1,740.18 = 543.36/x
  3. Step 3: Cross multiply
    1,159.74x = 1,740.18 × 543.36
  4. Step 4: Simplify right side
    1,159.74x = 945,542.98
  5. Step 5: Solve for x
    x = 945,542.98/1,159.74
  6. Step 6: Final answer
    x = 815.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.