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Finding the Fourth Proportional to 1,065.90, 1,471.63 and 673.50

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Solution

The fourth proportional to 1,065.90, 1,471.63 and 673.50 is: 929.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.90 : 1,471.63 = 673.50 : x
  2. Step 2: Convert to fraction form
    1,065.90/1,471.63 = 673.50/x
  3. Step 3: Cross multiply
    1,065.90x = 1,471.63 × 673.50
  4. Step 4: Simplify right side
    1,065.90x = 991,142.81
  5. Step 5: Solve for x
    x = 991,142.81/1,065.90
  6. Step 6: Final answer
    x = 929.86

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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.