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Finding the Fourth Proportional to 1,109.16, 1,529.85 and 777.66

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Solution

The fourth proportional to 1,109.16, 1,529.85 and 777.66 is: 1,072.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,109.16 : 1,529.85 = 777.66 : x
  2. Step 2: Convert to fraction form
    1,109.16/1,529.85 = 777.66/x
  3. Step 3: Cross multiply
    1,109.16x = 1,529.85 × 777.66
  4. Step 4: Simplify right side
    1,109.16x = 1,189,703.15
  5. Step 5: Solve for x
    x = 1,189,703.15/1,109.16
  6. Step 6: Final answer
    x = 1,072.62

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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.