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Finding the Fourth Proportional to 701.57, 1,054.37 and 669.17

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Solution

The fourth proportional to 701.57, 1,054.37 and 669.17 is: 1,005.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.57 : 1,054.37 = 669.17 : x
  2. Step 2: Convert to fraction form
    701.57/1,054.37 = 669.17/x
  3. Step 3: Cross multiply
    701.57x = 1,054.37 × 669.17
  4. Step 4: Simplify right side
    701.57x = 705,544.16
  5. Step 5: Solve for x
    x = 705,544.16/701.57
  6. Step 6: Final answer
    x = 1,005.67

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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.