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Finding the Fourth Proportional to 703.88, 970.82 and 470.60

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Solution

The fourth proportional to 703.88, 970.82 and 470.60 is: 649.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.88 : 970.82 = 470.60 : x
  2. Step 2: Convert to fraction form
    703.88/970.82 = 470.60/x
  3. Step 3: Cross multiply
    703.88x = 970.82 × 470.60
  4. Step 4: Simplify right side
    703.88x = 456,867.89
  5. Step 5: Solve for x
    x = 456,867.89/703.88
  6. Step 6: Final answer
    x = 649.07

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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.