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Finding the Fourth Proportional to 1,046.07, 1,444.59 and 895.83

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Solution

The fourth proportional to 1,046.07, 1,444.59 and 895.83 is: 1,237.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.07 : 1,444.59 = 895.83 : x
  2. Step 2: Convert to fraction form
    1,046.07/1,444.59 = 895.83/x
  3. Step 3: Cross multiply
    1,046.07x = 1,444.59 × 895.83
  4. Step 4: Simplify right side
    1,046.07x = 1,294,107.06
  5. Step 5: Solve for x
    x = 1,294,107.06/1,046.07
  6. Step 6: Final answer
    x = 1,237.11

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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.