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Finding the Fourth Proportional to 980.15, 1,470.29 and 569.16

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Solution

The fourth proportional to 980.15, 1,470.29 and 569.16 is: 853.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.15 : 1,470.29 = 569.16 : x
  2. Step 2: Convert to fraction form
    980.15/1,470.29 = 569.16/x
  3. Step 3: Cross multiply
    980.15x = 1,470.29 × 569.16
  4. Step 4: Simplify right side
    980.15x = 836,827.41
  5. Step 5: Solve for x
    x = 836,827.41/980.15
  6. Step 6: Final answer
    x = 853.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.