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Finding the Fourth Proportional to 1,759.34, 2,638.80 and 526.42

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Solution

The fourth proportional to 1,759.34, 2,638.80 and 526.42 is: 789.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.34 : 2,638.80 = 526.42 : x
  2. Step 2: Convert to fraction form
    1,759.34/2,638.80 = 526.42/x
  3. Step 3: Cross multiply
    1,759.34x = 2,638.80 × 526.42
  4. Step 4: Simplify right side
    1,759.34x = 1,389,117.10
  5. Step 5: Solve for x
    x = 1,389,117.10/1,759.34
  6. Step 6: Final answer
    x = 789.57

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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.