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Finding the Fourth Proportional to 1,074.35, 1,610.75 and 526.16

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Solution

The fourth proportional to 1,074.35, 1,610.75 and 526.16 is: 788.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.35 : 1,610.75 = 526.16 : x
  2. Step 2: Convert to fraction form
    1,074.35/1,610.75 = 526.16/x
  3. Step 3: Cross multiply
    1,074.35x = 1,610.75 × 526.16
  4. Step 4: Simplify right side
    1,074.35x = 847,517.56
  5. Step 5: Solve for x
    x = 847,517.56/1,074.35
  6. Step 6: Final answer
    x = 788.86

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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.