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Finding the Fourth Proportional to 1,063.08, 1,466.06 and 689.66

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Solution

The fourth proportional to 1,063.08, 1,466.06 and 689.66 is: 951.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.08 : 1,466.06 = 689.66 : x
  2. Step 2: Convert to fraction form
    1,063.08/1,466.06 = 689.66/x
  3. Step 3: Cross multiply
    1,063.08x = 1,466.06 × 689.66
  4. Step 4: Simplify right side
    1,063.08x = 1,011,082.94
  5. Step 5: Solve for x
    x = 1,011,082.94/1,063.08
  6. Step 6: Final answer
    x = 951.09

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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.