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Finding the Fourth Proportional to 1,117.54, 1,542.07 and 620.18

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Solution

The fourth proportional to 1,117.54, 1,542.07 and 620.18 is: 855.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.54 : 1,542.07 = 620.18 : x
  2. Step 2: Convert to fraction form
    1,117.54/1,542.07 = 620.18/x
  3. Step 3: Cross multiply
    1,117.54x = 1,542.07 × 620.18
  4. Step 4: Simplify right side
    1,117.54x = 956,355.57
  5. Step 5: Solve for x
    x = 956,355.57/1,117.54
  6. Step 6: Final answer
    x = 855.77

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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.