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Finding the Fourth Proportional to 1,046.37, 1,570.57 and 769.58

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Solution

The fourth proportional to 1,046.37, 1,570.57 and 769.58 is: 1,155.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.37 : 1,570.57 = 769.58 : x
  2. Step 2: Convert to fraction form
    1,046.37/1,570.57 = 769.58/x
  3. Step 3: Cross multiply
    1,046.37x = 1,570.57 × 769.58
  4. Step 4: Simplify right side
    1,046.37x = 1,208,669.48
  5. Step 5: Solve for x
    x = 1,208,669.48/1,046.37
  6. Step 6: Final answer
    x = 1,155.11

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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.