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Finding the Fourth Proportional to 957.54, 1,321.72 and 647.22

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Solution

The fourth proportional to 957.54, 1,321.72 and 647.22 is: 893.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.54 : 1,321.72 = 647.22 : x
  2. Step 2: Convert to fraction form
    957.54/1,321.72 = 647.22/x
  3. Step 3: Cross multiply
    957.54x = 1,321.72 × 647.22
  4. Step 4: Simplify right side
    957.54x = 855,443.62
  5. Step 5: Solve for x
    x = 855,443.62/957.54
  6. Step 6: Final answer
    x = 893.38

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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.