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Finding the Fourth Proportional to 1,201.88, 1,802.34 and 646.16

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Solution

The fourth proportional to 1,201.88, 1,802.34 and 646.16 is: 968.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.88 : 1,802.34 = 646.16 : x
  2. Step 2: Convert to fraction form
    1,201.88/1,802.34 = 646.16/x
  3. Step 3: Cross multiply
    1,201.88x = 1,802.34 × 646.16
  4. Step 4: Simplify right side
    1,201.88x = 1,164,600.01
  5. Step 5: Solve for x
    x = 1,164,600.01/1,201.88
  6. Step 6: Final answer
    x = 968.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.