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Finding the Fourth Proportional to 1,104.74, 1,524.52 and 607.35

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Solution

The fourth proportional to 1,104.74, 1,524.52 and 607.35 is: 838.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.74 : 1,524.52 = 607.35 : x
  2. Step 2: Convert to fraction form
    1,104.74/1,524.52 = 607.35/x
  3. Step 3: Cross multiply
    1,104.74x = 1,524.52 × 607.35
  4. Step 4: Simplify right side
    1,104.74x = 925,917.22
  5. Step 5: Solve for x
    x = 925,917.22/1,104.74
  6. Step 6: Final answer
    x = 838.13

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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.