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Finding the Fourth Proportional to 1,200.21, 1,655.91 and 702.51

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Solution

The fourth proportional to 1,200.21, 1,655.91 and 702.51 is: 969.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.21 : 1,655.91 = 702.51 : x
  2. Step 2: Convert to fraction form
    1,200.21/1,655.91 = 702.51/x
  3. Step 3: Cross multiply
    1,200.21x = 1,655.91 × 702.51
  4. Step 4: Simplify right side
    1,200.21x = 1,163,293.33
  5. Step 5: Solve for x
    x = 1,163,293.33/1,200.21
  6. Step 6: Final answer
    x = 969.24

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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.