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Finding the Fourth Proportional to 910.14, 1,254.50 and 644.67

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Solution

The fourth proportional to 910.14, 1,254.50 and 644.67 is: 888.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    910.14 : 1,254.50 = 644.67 : x
  2. Step 2: Convert to fraction form
    910.14/1,254.50 = 644.67/x
  3. Step 3: Cross multiply
    910.14x = 1,254.50 × 644.67
  4. Step 4: Simplify right side
    910.14x = 808,735.29
  5. Step 5: Solve for x
    x = 808,735.29/910.14
  6. Step 6: Final answer
    x = 888.58

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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.