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Finding the Fourth Proportional to 1,117.14, 1,541.63 and 619.78

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Solution

The fourth proportional to 1,117.14, 1,541.63 and 619.78 is: 855.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.14 : 1,541.63 = 619.78 : x
  2. Step 2: Convert to fraction form
    1,117.14/1,541.63 = 619.78/x
  3. Step 3: Cross multiply
    1,117.14x = 1,541.63 × 619.78
  4. Step 4: Simplify right side
    1,117.14x = 955,471.44
  5. Step 5: Solve for x
    x = 955,471.44/1,117.14
  6. Step 6: Final answer
    x = 855.28

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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.