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Finding the Fourth Proportional to 1,046.65, 1,569.98 and 945.85

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Solution

The fourth proportional to 1,046.65, 1,569.98 and 945.85 is: 1,418.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.65 : 1,569.98 = 945.85 : x
  2. Step 2: Convert to fraction form
    1,046.65/1,569.98 = 945.85/x
  3. Step 3: Cross multiply
    1,046.65x = 1,569.98 × 945.85
  4. Step 4: Simplify right side
    1,046.65x = 1,484,960.85
  5. Step 5: Solve for x
    x = 1,484,960.85/1,046.65
  6. Step 6: Final answer
    x = 1,418.78

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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.