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Finding the Fourth Proportional to 1,174.87, 1,618.71 and 775.82

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Solution

The fourth proportional to 1,174.87, 1,618.71 and 775.82 is: 1,068.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.87 : 1,618.71 = 775.82 : x
  2. Step 2: Convert to fraction form
    1,174.87/1,618.71 = 775.82/x
  3. Step 3: Cross multiply
    1,174.87x = 1,618.71 × 775.82
  4. Step 4: Simplify right side
    1,174.87x = 1,255,827.59
  5. Step 5: Solve for x
    x = 1,255,827.59/1,174.87
  6. Step 6: Final answer
    x = 1,068.91

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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.