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Finding the Fourth Proportional to 1,109.53, 1,530.66 and 777.84

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Solution

The fourth proportional to 1,109.53, 1,530.66 and 777.84 is: 1,073.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.53 : 1,530.66 = 777.84 : x
  2. Step 2: Convert to fraction form
    1,109.53/1,530.66 = 777.84/x
  3. Step 3: Cross multiply
    1,109.53x = 1,530.66 × 777.84
  4. Step 4: Simplify right side
    1,109.53x = 1,190,608.57
  5. Step 5: Solve for x
    x = 1,190,608.57/1,109.53
  6. Step 6: Final answer
    x = 1,073.07

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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.