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Finding the Fourth Proportional to 1,065.80, 1,471.01 and 623.75

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Solution

The fourth proportional to 1,065.80, 1,471.01 and 623.75 is: 860.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.80 : 1,471.01 = 623.75 : x
  2. Step 2: Convert to fraction form
    1,065.80/1,471.01 = 623.75/x
  3. Step 3: Cross multiply
    1,065.80x = 1,471.01 × 623.75
  4. Step 4: Simplify right side
    1,065.80x = 917,532.01
  5. Step 5: Solve for x
    x = 917,532.01/1,065.80
  6. Step 6: Final answer
    x = 860.89

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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.