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Finding the Fourth Proportional to 1,046.09, 1,443.60 and 653.11

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Solution

The fourth proportional to 1,046.09, 1,443.60 and 653.11 is: 901.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.09 : 1,443.60 = 653.11 : x
  2. Step 2: Convert to fraction form
    1,046.09/1,443.60 = 653.11/x
  3. Step 3: Cross multiply
    1,046.09x = 1,443.60 × 653.11
  4. Step 4: Simplify right side
    1,046.09x = 942,829.60
  5. Step 5: Solve for x
    x = 942,829.60/1,046.09
  6. Step 6: Final answer
    x = 901.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.