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Finding the Fourth Proportional to 701.15, 1,050.51 and 466.76

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Solution

The fourth proportional to 701.15, 1,050.51 and 466.76 is: 699.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.15 : 1,050.51 = 466.76 : x
  2. Step 2: Convert to fraction form
    701.15/1,050.51 = 466.76/x
  3. Step 3: Cross multiply
    701.15x = 1,050.51 × 466.76
  4. Step 4: Simplify right side
    701.15x = 490,330.80
  5. Step 5: Solve for x
    x = 490,330.80/701.15
  6. Step 6: Final answer
    x = 699.32

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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.