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Finding the Fourth Proportional to 1,116.66, 1,541.07 and 651.18

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Solution

The fourth proportional to 1,116.66, 1,541.07 and 651.18 is: 898.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.66 : 1,541.07 = 651.18 : x
  2. Step 2: Convert to fraction form
    1,116.66/1,541.07 = 651.18/x
  3. Step 3: Cross multiply
    1,116.66x = 1,541.07 × 651.18
  4. Step 4: Simplify right side
    1,116.66x = 1,003,513.96
  5. Step 5: Solve for x
    x = 1,003,513.96/1,116.66
  6. Step 6: Final answer
    x = 898.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.