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Finding the Fourth Proportional to 1,116.77, 1,675.18 and 336.77

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Solution

The fourth proportional to 1,116.77, 1,675.18 and 336.77 is: 505.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,116.77 : 1,675.18 = 336.77 : x
  2. Step 2: Convert to fraction form
    1,116.77/1,675.18 = 336.77/x
  3. Step 3: Cross multiply
    1,116.77x = 1,675.18 × 336.77
  4. Step 4: Simplify right side
    1,116.77x = 564,148.70
  5. Step 5: Solve for x
    x = 564,148.70/1,116.77
  6. Step 6: Final answer
    x = 505.16

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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.