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Finding the Fourth Proportional to 968.51, 1,337.64 and 653.23

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Solution

The fourth proportional to 968.51, 1,337.64 and 653.23 is: 902.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.51 : 1,337.64 = 653.23 : x
  2. Step 2: Convert to fraction form
    968.51/1,337.64 = 653.23/x
  3. Step 3: Cross multiply
    968.51x = 1,337.64 × 653.23
  4. Step 4: Simplify right side
    968.51x = 873,783.23
  5. Step 5: Solve for x
    x = 873,783.23/968.51
  6. Step 6: Final answer
    x = 902.19

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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.