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Finding the Fourth Proportional to 1,085.28, 1,497.66 and 619.50

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Solution

The fourth proportional to 1,085.28, 1,497.66 and 619.50 is: 854.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.28 : 1,497.66 = 619.50 : x
  2. Step 2: Convert to fraction form
    1,085.28/1,497.66 = 619.50/x
  3. Step 3: Cross multiply
    1,085.28x = 1,497.66 × 619.50
  4. Step 4: Simplify right side
    1,085.28x = 927,800.37
  5. Step 5: Solve for x
    x = 927,800.37/1,085.28
  6. Step 6: Final answer
    x = 854.89

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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.