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Finding the Fourth Proportional to 1,046.19, 1,569.07 and 994.15

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Solution

The fourth proportional to 1,046.19, 1,569.07 and 994.15 is: 1,491.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.19 : 1,569.07 = 994.15 : x
  2. Step 2: Convert to fraction form
    1,046.19/1,569.07 = 994.15/x
  3. Step 3: Cross multiply
    1,046.19x = 1,569.07 × 994.15
  4. Step 4: Simplify right side
    1,046.19x = 1,559,890.94
  5. Step 5: Solve for x
    x = 1,559,890.94/1,046.19
  6. Step 6: Final answer
    x = 1,491.02

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Why These Related Problems?

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