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Finding the Fourth Proportional to 1,117.82, 1,674.57 and 541.10

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Solution

The fourth proportional to 1,117.82, 1,674.57 and 541.10 is: 810.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.82 : 1,674.57 = 541.10 : x
  2. Step 2: Convert to fraction form
    1,117.82/1,674.57 = 541.10/x
  3. Step 3: Cross multiply
    1,117.82x = 1,674.57 × 541.10
  4. Step 4: Simplify right side
    1,117.82x = 906,109.83
  5. Step 5: Solve for x
    x = 906,109.83/1,117.82
  6. Step 6: Final answer
    x = 810.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.