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Finding the Fourth Proportional to 968.12, 1,335.66 and 619.40

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Solution

The fourth proportional to 968.12, 1,335.66 and 619.40 is: 854.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.12 : 1,335.66 = 619.40 : x
  2. Step 2: Convert to fraction form
    968.12/1,335.66 = 619.40/x
  3. Step 3: Cross multiply
    968.12x = 1,335.66 × 619.40
  4. Step 4: Simplify right side
    968.12x = 827,307.80
  5. Step 5: Solve for x
    x = 827,307.80/968.12
  6. Step 6: Final answer
    x = 854.55

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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.