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Finding the Fourth Proportional to 1,046.65, 1,569.11 and 816.56

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Solution

The fourth proportional to 1,046.65, 1,569.11 and 816.56 is: 1,224.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.65 : 1,569.11 = 816.56 : x
  2. Step 2: Convert to fraction form
    1,046.65/1,569.11 = 816.56/x
  3. Step 3: Cross multiply
    1,046.65x = 1,569.11 × 816.56
  4. Step 4: Simplify right side
    1,046.65x = 1,281,272.46
  5. Step 5: Solve for x
    x = 1,281,272.46/1,046.65
  6. Step 6: Final answer
    x = 1,224.17

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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.