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Finding the Fourth Proportional to 701.37, 1,050 and 469.62

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Solution

The fourth proportional to 701.37, 1,050 and 469.62 is: 703.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.37 : 1,050 = 469.62 : x
  2. Step 2: Convert to fraction form
    701.37/1,050 = 469.62/x
  3. Step 3: Cross multiply
    701.37x = 1,050 × 469.62
  4. Step 4: Simplify right side
    701.37x = 493,101
  5. Step 5: Solve for x
    x = 493,101/701.37
  6. Step 6: Final answer
    x = 703.05

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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.