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Finding the Fourth Proportional to 1,104.81, 1,524.59 and 607.45

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Solution

The fourth proportional to 1,104.81, 1,524.59 and 607.45 is: 838.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.81 : 1,524.59 = 607.45 : x
  2. Step 2: Convert to fraction form
    1,104.81/1,524.59 = 607.45/x
  3. Step 3: Cross multiply
    1,104.81x = 1,524.59 × 607.45
  4. Step 4: Simplify right side
    1,104.81x = 926,110.48
  5. Step 5: Solve for x
    x = 926,110.48/1,104.81
  6. Step 6: Final answer
    x = 838.26

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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.