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Finding the Fourth Proportional to 1,116.90, 1,541.28 and 644.70

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Solution

The fourth proportional to 1,116.90, 1,541.28 and 644.70 is: 889.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.90 : 1,541.28 = 644.70 : x
  2. Step 2: Convert to fraction form
    1,116.90/1,541.28 = 644.70/x
  3. Step 3: Cross multiply
    1,116.90x = 1,541.28 × 644.70
  4. Step 4: Simplify right side
    1,116.90x = 993,663.22
  5. Step 5: Solve for x
    x = 993,663.22/1,116.90
  6. Step 6: Final answer
    x = 889.66

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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.