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Finding the Fourth Proportional to 910.70, 1,364.16 and 470.62

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Solution

The fourth proportional to 910.70, 1,364.16 and 470.62 is: 704.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.70 : 1,364.16 = 470.62 : x
  2. Step 2: Convert to fraction form
    910.70/1,364.16 = 470.62/x
  3. Step 3: Cross multiply
    910.70x = 1,364.16 × 470.62
  4. Step 4: Simplify right side
    910.70x = 642,000.98
  5. Step 5: Solve for x
    x = 642,000.98/910.70
  6. Step 6: Final answer
    x = 704.95

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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.