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Finding the Fourth Proportional to 1,117.25, 1,541.80 and 619.96

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Solution

The fourth proportional to 1,117.25, 1,541.80 and 619.96 is: 855.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.25 : 1,541.80 = 619.96 : x
  2. Step 2: Convert to fraction form
    1,117.25/1,541.80 = 619.96/x
  3. Step 3: Cross multiply
    1,117.25x = 1,541.80 × 619.96
  4. Step 4: Simplify right side
    1,117.25x = 955,848.92
  5. Step 5: Solve for x
    x = 955,848.92/1,117.25
  6. Step 6: Final answer
    x = 855.54

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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.