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Finding the Fourth Proportional to 968.64, 1,450.26 and 557.16

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Solution

The fourth proportional to 968.64, 1,450.26 and 557.16 is: 834.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.64 : 1,450.26 = 557.16 : x
  2. Step 2: Convert to fraction form
    968.64/1,450.26 = 557.16/x
  3. Step 3: Cross multiply
    968.64x = 1,450.26 × 557.16
  4. Step 4: Simplify right side
    968.64x = 808,026.86
  5. Step 5: Solve for x
    x = 808,026.86/968.64
  6. Step 6: Final answer
    x = 834.19

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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.