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Finding the Fourth Proportional to 1,204.50, 1,661.92 and 707.11

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Solution

The fourth proportional to 1,204.50, 1,661.92 and 707.11 is: 975.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.50 : 1,661.92 = 707.11 : x
  2. Step 2: Convert to fraction form
    1,204.50/1,661.92 = 707.11/x
  3. Step 3: Cross multiply
    1,204.50x = 1,661.92 × 707.11
  4. Step 4: Simplify right side
    1,204.50x = 1,175,160.25
  5. Step 5: Solve for x
    x = 1,175,160.25/1,204.50
  6. Step 6: Final answer
    x = 975.64

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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.