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Finding the Fourth Proportional to 913.50, 1,259.91 and 619.14

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Solution

The fourth proportional to 913.50, 1,259.91 and 619.14 is: 853.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.50 : 1,259.91 = 619.14 : x
  2. Step 2: Convert to fraction form
    913.50/1,259.91 = 619.14/x
  3. Step 3: Cross multiply
    913.50x = 1,259.91 × 619.14
  4. Step 4: Simplify right side
    913.50x = 780,060.68
  5. Step 5: Solve for x
    x = 780,060.68/913.50
  6. Step 6: Final answer
    x = 853.93

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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.