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Finding the Fourth Proportional to 1,069.10, 1,475.70 and 626.99

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Solution

The fourth proportional to 1,069.10, 1,475.70 and 626.99 is: 865.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.10 : 1,475.70 = 626.99 : x
  2. Step 2: Convert to fraction form
    1,069.10/1,475.70 = 626.99/x
  3. Step 3: Cross multiply
    1,069.10x = 1,475.70 × 626.99
  4. Step 4: Simplify right side
    1,069.10x = 925,241.76
  5. Step 5: Solve for x
    x = 925,241.76/1,069.10
  6. Step 6: Final answer
    x = 865.44

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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.