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Finding the Fourth Proportional to 1,094.77, 1,642.16 and 709.75

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Solution

The fourth proportional to 1,094.77, 1,642.16 and 709.75 is: 1,064.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.77 : 1,642.16 = 709.75 : x
  2. Step 2: Convert to fraction form
    1,094.77/1,642.16 = 709.75/x
  3. Step 3: Cross multiply
    1,094.77x = 1,642.16 × 709.75
  4. Step 4: Simplify right side
    1,094.77x = 1,165,523.06
  5. Step 5: Solve for x
    x = 1,165,523.06/1,094.77
  6. Step 6: Final answer
    x = 1,064.63

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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.