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Finding the Fourth Proportional to 1,065.20, 1,469.91 and 623.08

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Solution

The fourth proportional to 1,065.20, 1,469.91 and 623.08 is: 859.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.20 : 1,469.91 = 623.08 : x
  2. Step 2: Convert to fraction form
    1,065.20/1,469.91 = 623.08/x
  3. Step 3: Cross multiply
    1,065.20x = 1,469.91 × 623.08
  4. Step 4: Simplify right side
    1,065.20x = 915,864.17
  5. Step 5: Solve for x
    x = 915,864.17/1,065.20
  6. Step 6: Final answer
    x = 859.80

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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.