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Finding the Fourth Proportional to 1,033.10, 1,425.85 and 591.00

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Solution

The fourth proportional to 1,033.10, 1,425.85 and 591.00 is: 815.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.10 : 1,425.85 = 591.00 : x
  2. Step 2: Convert to fraction form
    1,033.10/1,425.85 = 591.00/x
  3. Step 3: Cross multiply
    1,033.10x = 1,425.85 × 591.00
  4. Step 4: Simplify right side
    1,033.10x = 842,673.85
  5. Step 5: Solve for x
    x = 842,673.85/1,033.10
  6. Step 6: Final answer
    x = 815.67

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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.