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Finding the Fourth Proportional to 1,034.08, 1,426.68 and 591.67

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Solution

The fourth proportional to 1,034.08, 1,426.68 and 591.67 is: 816.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.08 : 1,426.68 = 591.67 : x
  2. Step 2: Convert to fraction form
    1,034.08/1,426.68 = 591.67/x
  3. Step 3: Cross multiply
    1,034.08x = 1,426.68 × 591.67
  4. Step 4: Simplify right side
    1,034.08x = 844,113.66
  5. Step 5: Solve for x
    x = 844,113.66/1,034.08
  6. Step 6: Final answer
    x = 816.30

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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.