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Finding the Fourth Proportional to 703.86, 970.90 and 467.80

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Solution

The fourth proportional to 703.86, 970.90 and 467.80 is: 645.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.86 : 970.90 = 467.80 : x
  2. Step 2: Convert to fraction form
    703.86/970.90 = 467.80/x
  3. Step 3: Cross multiply
    703.86x = 970.90 × 467.80
  4. Step 4: Simplify right side
    703.86x = 454,187.02
  5. Step 5: Solve for x
    x = 454,187.02/703.86
  6. Step 6: Final answer
    x = 645.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.