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Finding the Fourth Proportional to 1,080.79, 1,619.06 and 561.13

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Solution

The fourth proportional to 1,080.79, 1,619.06 and 561.13 is: 840.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.79 : 1,619.06 = 561.13 : x
  2. Step 2: Convert to fraction form
    1,080.79/1,619.06 = 561.13/x
  3. Step 3: Cross multiply
    1,080.79x = 1,619.06 × 561.13
  4. Step 4: Simplify right side
    1,080.79x = 908,503.14
  5. Step 5: Solve for x
    x = 908,503.14/1,080.79
  6. Step 6: Final answer
    x = 840.59

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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.