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Finding the Fourth Proportional to 1,065.10, 1,469.90 and 623.26

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Solution

The fourth proportional to 1,065.10, 1,469.90 and 623.26 is: 860.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.10 : 1,469.90 = 623.26 : x
  2. Step 2: Convert to fraction form
    1,065.10/1,469.90 = 623.26/x
  3. Step 3: Cross multiply
    1,065.10x = 1,469.90 × 623.26
  4. Step 4: Simplify right side
    1,065.10x = 916,129.87
  5. Step 5: Solve for x
    x = 916,129.87/1,065.10
  6. Step 6: Final answer
    x = 860.14

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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.