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Finding the Fourth Proportional to 956.57, 1,319.36 and 676.58

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Solution

The fourth proportional to 956.57, 1,319.36 and 676.58 is: 933.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.57 : 1,319.36 = 676.58 : x
  2. Step 2: Convert to fraction form
    956.57/1,319.36 = 676.58/x
  3. Step 3: Cross multiply
    956.57x = 1,319.36 × 676.58
  4. Step 4: Simplify right side
    956.57x = 892,642.61
  5. Step 5: Solve for x
    x = 892,642.61/956.57
  6. Step 6: Final answer
    x = 933.18

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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.