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Finding the Fourth Proportional to 1,046.07, 1,443.09 and 626.46

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Solution

The fourth proportional to 1,046.07, 1,443.09 and 626.46 is: 864.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.07 : 1,443.09 = 626.46 : x
  2. Step 2: Convert to fraction form
    1,046.07/1,443.09 = 626.46/x
  3. Step 3: Cross multiply
    1,046.07x = 1,443.09 × 626.46
  4. Step 4: Simplify right side
    1,046.07x = 904,038.16
  5. Step 5: Solve for x
    x = 904,038.16/1,046.07
  6. Step 6: Final answer
    x = 864.22

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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.