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Finding the Fourth Proportional to 968.85, 1,336.94 and 570.45

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Solution

The fourth proportional to 968.85, 1,336.94 and 570.45 is: 787.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.85 : 1,336.94 = 570.45 : x
  2. Step 2: Convert to fraction form
    968.85/1,336.94 = 570.45/x
  3. Step 3: Cross multiply
    968.85x = 1,336.94 × 570.45
  4. Step 4: Simplify right side
    968.85x = 762,657.42
  5. Step 5: Solve for x
    x = 762,657.42/968.85
  6. Step 6: Final answer
    x = 787.18

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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.